[
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.4677,
                    0.3909
                ],
                "major_axis": 0.3963,
                "minor_axis": 0.3963,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.5815,
                        0.5182
                    ],
                    [
                        0.6645,
                        0.3919
                    ],
                    [
                        0.8102,
                        0.4318
                    ],
                    [
                        0.8173,
                        0.5827
                    ],
                    [
                        0.676,
                        0.6361
                    ]
                ],
                "special_info": "regular pentagon",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.7099,
                    0.5121
                ],
                "major_axis": 0.257,
                "minor_axis": 0.257,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                1,
                "circumscribed circle of regular pentagon"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "line",
                "points": [
                    [
                        1,
                        0.5477
                    ],
                    [
                        0.7991,
                        1
                    ]
                ]
            },
            {
                "type": "spiral",
                "center": [
                    0.6414,
                    0.2838
                ],
                "initial_radius": 0.0003,
                "growth_rate": 0.0079,
                "sin_params": [
                    0.0012,
                    0.9679,
                    1.3276
                ],
                "max_theta": 24.06
            },
            {
                "type": "ellipse",
                "center": [
                    0.9132,
                    0.7003
                ],
                "major_axis": 0.0346,
                "minor_axis": 0.0346,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.0831,
                        0.1625
                    ],
                    [
                        0.4785,
                        0.014
                    ],
                    [
                        0.8048,
                        0.2822
                    ],
                    [
                        0.7357,
                        0.6989
                    ],
                    [
                        0.3403,
                        0.8474
                    ],
                    [
                        0.014,
                        0.5792
                    ]
                ],
                "special_info": "regular hexagon",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.623,
                    0.5976
                ],
                "major_axis": 0.4338,
                "minor_axis": 0.1188,
                "rotation": 3.0779,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6126,
                    0.4174
                ],
                "major_axis": 0.2423,
                "minor_axis": 0.2423,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                2,
                "external tangent circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.6524,
                    0.4246
                ],
                "major_axis": 0.5056,
                "minor_axis": 0.1534,
                "rotation": 1.0915,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.6136,
                        0.085
                    ],
                    [
                        0.9183,
                        0.6136
                    ],
                    [
                        0.3896,
                        0.9183
                    ],
                    [
                        0.085,
                        0.3896
                    ]
                ],
                "special_info": "square",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6139,
                    0.4438
                ],
                "major_axis": 0.0674,
                "minor_axis": 0.0674,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5016,
                    0.5016
                ],
                "major_axis": 0.8629,
                "minor_axis": 0.8629,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "internal tangent circle"
            ],
            [
                3,
                1,
                "circumscribed circle of square"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.4251,
                    0.7601
                ],
                "major_axis": 0.4284,
                "minor_axis": 0.1829,
                "rotation": 2.4905,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.7948,
                    0.2872
                ],
                "major_axis": 0.1973,
                "minor_axis": 0.1973,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.5441,
                        0.7898
                    ],
                    [
                        0.2613,
                        0.9846
                    ]
                ]
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.8645,
                        0.357
                    ],
                    [
                        0.7249,
                        0.3568
                    ],
                    [
                        0.7249,
                        0.2176
                    ],
                    [
                        0.8645,
                        0.2174
                    ]
                ],
                "special_info": "square",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "tangent line"
            ],
            [
                1,
                3,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.6551,
                        0.6947
                    ],
                    [
                        0.7293,
                        0.6156
                    ],
                    [
                        0.7606,
                        0.7194
                    ]
                ],
                "special_info": "equilateral triangle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.7739,
                        0.5184
                    ],
                    [
                        0.5756,
                        0.2997
                    ],
                    [
                        0.7606,
                        0.216
                    ]
                ],
                "special_info": "triangle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.3813,
                        0.4857
                    ],
                    [
                        0.4282,
                        0.4357
                    ],
                    [
                        0.4481,
                        0.5014
                    ]
                ],
                "special_info": "equilateral triangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.7185,
                    0.3694
                ],
                "major_axis": 0.318,
                "minor_axis": 0.318,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "similar"
            ],
            [
                3,
                1,
                "circumscribed circle of triangle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.3066,
                    0.545
                ],
                "major_axis": 0.1584,
                "minor_axis": 0.1584,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "spiral",
                "center": [
                    0.2276,
                    0.7109
                ],
                "initial_radius": 0.0005,
                "growth_rate": 0.0086,
                "sin_params": [
                    0.0007,
                    1.0129,
                    0.8304
                ],
                "max_theta": 15.723
            },
            {
                "type": "ellipse",
                "center": [
                    0.3066,
                    0.545
                ],
                "major_axis": 0.2112,
                "minor_axis": 0.2112,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.3066,
                    0.545
                ],
                "major_axis": 0.2817,
                "minor_axis": 0.2817,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "concentric"
            ],
            [
                2,
                3,
                "concentric"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.6416,
                    0.7025
                ],
                "major_axis": 0.1789,
                "minor_axis": 0.1789,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.7255,
                        0.7334
                    ],
                    [
                        0.5577,
                        0.7336
                    ],
                    [
                        0.5577,
                        0.6714
                    ],
                    [
                        0.7255,
                        0.6716
                    ]
                ],
                "special_info": "rectangle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.7332,
                    0.7811
                ],
                "major_axis": 0.2625,
                "minor_axis": 0.2625,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.7818,
                    0.621
                ],
                "major_axis": 0.2416,
                "minor_axis": 0.2416,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.6607,
                        0.714
                    ],
                    [
                        0.6612,
                        0.5559
                    ]
                ]
            }
        ],
        "relations": [
            [
                1,
                2,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.7944,
                        0.588
                    ],
                    [
                        0.7017,
                        0.7579
                    ],
                    [
                        0.3406,
                        0.4539
                    ],
                    [
                        0.3292,
                        0.3157
                    ],
                    [
                        0.4997,
                        0.3191
                    ],
                    [
                        0.7425,
                        0.4866
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.5015,
                        0.7309
                    ],
                    [
                        0.4299,
                        0.862
                    ],
                    [
                        0.1513,
                        0.6274
                    ],
                    [
                        0.1425,
                        0.5208
                    ],
                    [
                        0.274,
                        0.5234
                    ],
                    [
                        0.4615,
                        0.6527
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "similar"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "sector",
                "center": [
                    0.6154,
                    0.4362
                ],
                "radius": 0.1653,
                "start_angle": 2.4582,
                "end_angle": 3.2339,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.2235,
                    0.4265
                ],
                "major_axis": 0.5011,
                "minor_axis": 0.1772,
                "rotation": 2.1164,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "sector",
                "center": [
                    0.4872,
                    0.5405
                ],
                "radius": 0.1653,
                "start_angle": 5.5998,
                "end_angle": 0.0923,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.2665,
                        0.532
                    ],
                    [
                        0.4107,
                        0.2739
                    ]
                ]
            }
        ],
        "relations": [
            [
                0,
                2,
                "shared edge"
            ],
            [
                1,
                3,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.4753,
                    0.733
                ],
                "major_axis": 0.6063,
                "minor_axis": 0.2635,
                "rotation": 2.6984,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.5612,
                        0.8372
                    ],
                    [
                        0.4296,
                        0.609
                    ],
                    [
                        0.565,
                        0.5646
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.5486,
                        0.6393
                    ],
                    [
                        0.2825,
                        0.7551
                    ],
                    [
                        0.2432,
                        0.4919
                    ],
                    [
                        0.5634,
                        0.3287
                    ],
                    [
                        0.6169,
                        0.4153
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ray",
                "points": [
                    [
                        0.7278,
                        0.2739
                    ],
                    [
                        0.6256,
                        1
                    ]
                ]
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.2995,
                        0.297
                    ],
                    [
                        0.1312,
                        0.3702
                    ],
                    [
                        0.1064,
                        0.2038
                    ],
                    [
                        0.3089,
                        0.1006
                    ],
                    [
                        0.3427,
                        0.1553
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "similar"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "sector",
                "center": [
                    0.3223,
                    0.249
                ],
                "radius": 0.1746,
                "start_angle": 3.5112,
                "end_angle": 5.746,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6479,
                    0.6503
                ],
                "major_axis": 0.237,
                "minor_axis": 0.237,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.0875,
                        0.3952
                    ],
                    [
                        0.1595,
                        0.1859
                    ],
                    [
                        0.3223,
                        0.249
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.4989,
                        0.7021
                    ],
                    [
                        0.6046,
                        0.4425
                    ]
                ]
            }
        ],
        "relations": [
            [
                0,
                2,
                "shared edge"
            ],
            [
                1,
                3,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.5495,
                    0.3804
                ],
                "major_axis": 0.3332,
                "minor_axis": 0.3332,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.3264,
                    0.4957
                ],
                "major_axis": 0.1517,
                "minor_axis": 0.1517,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5495,
                    0.3804
                ],
                "major_axis": 0.4499,
                "minor_axis": 0.4499,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.404,
                        0.6377
                    ],
                    [
                        0.401,
                        0.3967
                    ]
                ]
            }
        ],
        "relations": [
            [
                0,
                2,
                "concentric"
            ],
            [
                1,
                3,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "star",
                "center": [
                    0.3617,
                    0.6172
                ],
                "outer_radius": 0.1738,
                "inner_radius": 0.0953,
                "num_points": 6,
                "rotation": 0.9371,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.3617,
                    0.6172
                ],
                "major_axis": 0.3476,
                "minor_axis": 0.3476,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.6283,
                    0.3437
                ],
                "major_axis": 0.4201,
                "minor_axis": 0.1391,
                "rotation": 3.1207,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "sector",
                "center": [
                    0.656,
                    0.5972
                ],
                "radius": 0.262,
                "start_angle": 2.9649,
                "end_angle": 4.7106,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "sector",
                "center": [
                    0.3981,
                    0.6433
                ],
                "radius": 0.262,
                "start_angle": 6.1065,
                "end_angle": 1.569,
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                2,
                "shared edge"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.325,
                        0.7997
                    ],
                    [
                        0.4253,
                        0.6287
                    ],
                    [
                        0.4863,
                        0.6645
                    ],
                    [
                        0.3861,
                        0.8355
                    ]
                ],
                "special_info": "rectangle",
                "fill_mode": "border"
            },
            {
                "type": "spiral",
                "center": [
                    0.6352,
                    0.4279
                ],
                "initial_radius": 0.0005,
                "growth_rate": 0.0118,
                "sin_params": [
                    0.0013,
                    0.5563,
                    0.4137
                ],
                "max_theta": 23.392
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.0583,
                        0.7276
                    ],
                    [
                        0.1194,
                        0.6233
                    ],
                    [
                        0.1566,
                        0.6451
                    ],
                    [
                        0.0955,
                        0.7494
                    ]
                ],
                "special_info": "rectangle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "similar"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ray",
                "points": [
                    [
                        0.0421,
                        0.2173
                    ],
                    [
                        0.3629,
                        0
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.4331,
                    0.4198
                ],
                "major_axis": 0.2847,
                "minor_axis": 0.2847,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.3418,
                    0.2177
                ],
                "major_axis": 0.3369,
                "minor_axis": 0.3369,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.4193,
                        0.7041
                    ],
                    [
                        0.1938,
                        0.2656
                    ],
                    [
                        0.6863,
                        0.2897
                    ]
                ],
                "special_info": "equilateral triangle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "tangent line"
            ],
            [
                1,
                3,
                "inscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.3492,
                    0.5536
                ],
                "major_axis": 0.1681,
                "minor_axis": 0.1681,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.9667,
                        0.6825
                    ],
                    [
                        0.7539,
                        0.821
                    ],
                    [
                        0.5275,
                        0.7059
                    ],
                    [
                        0.514,
                        0.4523
                    ],
                    [
                        0.7268,
                        0.3138
                    ],
                    [
                        0.9532,
                        0.4289
                    ]
                ],
                "special_info": "regular hexagon",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.4153,
                        0.6056
                    ],
                    [
                        0.2833,
                        0.6058
                    ],
                    [
                        0.2833,
                        0.5014
                    ],
                    [
                        0.4153,
                        0.5016
                    ]
                ],
                "special_info": "rectangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.7404,
                    0.5674
                ],
                "major_axis": 0.5079,
                "minor_axis": 0.5079,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "circumscribed"
            ],
            [
                3,
                1,
                "circumscribed circle of regular hexagon"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.6981,
                        0.6049
                    ],
                    [
                        0.8155,
                        0.6397
                    ],
                    [
                        0.7233,
                        0.9505
                    ],
                    [
                        0.6059,
                        0.9156
                    ]
                ],
                "special_info": "rectangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.7107,
                    0.7777
                ],
                "major_axis": 0.3465,
                "minor_axis": 0.3465,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "circumscribed circle of rectangle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "segment",
                "points": [
                    [
                        0.5956,
                        0.5075
                    ],
                    [
                        0.1118,
                        0.0507
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.4448,
                    0.2646
                ],
                "major_axis": 0.1461,
                "minor_axis": 0.1461,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.5125,
                        0.7286
                    ],
                    [
                        0.2303,
                        0.5176
                    ],
                    [
                        0.3483,
                        0.3892
                    ]
                ],
                "special_info": "triangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4132,
                    0.5673
                ],
                "major_axis": 0.3789,
                "minor_axis": 0.3789,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "circumscribed circle of triangle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "sector",
                "center": [
                    0.3103,
                    0.6281
                ],
                "radius": 0.3537,
                "start_angle": 5.7536,
                "end_angle": 1.7408,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.6748,
                        0.4943
                    ],
                    [
                        0.8282,
                        0.3386
                    ]
                ]
            },
            {
                "type": "sector",
                "center": [
                    0.6156,
                    0.4495
                ],
                "radius": 0.3537,
                "start_angle": 2.612,
                "end_angle": 4.8824,
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "shared edge"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.6547,
                    0.4291
                ],
                "major_axis": 0.0979,
                "minor_axis": 0.0979,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.3772,
                    0.6453
                ],
                "major_axis": 0.174,
                "minor_axis": 0.174,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.5855,
                        0.4271
                    ],
                    [
                        0.6568,
                        0.3598
                    ],
                    [
                        0.7239,
                        0.4313
                    ],
                    [
                        0.6526,
                        0.4981
                    ]
                ],
                "special_info": "square",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.466,
                    0.7545
                ],
                "major_axis": 0.1075,
                "minor_axis": 0.1075,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "inscribed"
            ],
            [
                1,
                3,
                "external tangent circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.6473,
                        0.5
                    ],
                    [
                        0.6275,
                        0.6058
                    ],
                    [
                        0.4418,
                        0.7403
                    ],
                    [
                        0.2262,
                        0.4595
                    ],
                    [
                        0.3358,
                        0.2132
                    ],
                    [
                        0.4841,
                        0.2195
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "line",
                "points": [
                    [
                        1,
                        0.1505
                    ],
                    [
                        0.6901,
                        0
                    ]
                ]
            }
        ],
        "relations": []
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.1401,
                        0.798
                    ],
                    [
                        0.3156,
                        0.1401
                    ],
                    [
                        0.9735,
                        0.3156
                    ],
                    [
                        0.798,
                        0.9735
                    ]
                ],
                "special_info": "square",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6173,
                    0.7018
                ],
                "major_axis": 0.1651,
                "minor_axis": 0.1651,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.5944,
                        0.8555
                    ],
                    [
                        0.5189,
                        0.6828
                    ]
                ]
            }
        ],
        "relations": [
            [
                1,
                2,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ray",
                "points": [
                    [
                        0.0397,
                        0.1506
                    ],
                    [
                        0,
                        0.5561
                    ]
                ]
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.4959,
                        0.7166
                    ],
                    [
                        0.9744,
                        0.3978
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.4592,
                    0.5885
                ],
                "major_axis": 0.2538,
                "minor_axis": 0.2538,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                2,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "line",
                "points": [
                    [
                        0.4698,
                        0
                    ],
                    [
                        1,
                        0.5242
                    ]
                ]
            },
            {
                "type": "star",
                "center": [
                    0.4422,
                    0.433
                ],
                "outer_radius": 0.2616,
                "inner_radius": 0.1204,
                "num_points": 5,
                "rotation": 2.0121,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4422,
                    0.433
                ],
                "major_axis": 0.5232,
                "minor_axis": 0.5232,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                1,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.1203,
                        0.0869
                    ],
                    [
                        0.8253,
                        0.5325
                    ],
                    [
                        0.0869,
                        0.9202
                    ]
                ],
                "special_info": "equilateral triangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.3442,
                    0.5132
                ],
                "major_axis": 0.4815,
                "minor_axis": 0.4815,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "inscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.6961,
                    0.3158
                ],
                "major_axis": 0.12,
                "minor_axis": 0.12,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "spiral",
                "center": [
                    0.3286,
                    0.2858
                ],
                "initial_radius": 0.0005,
                "growth_rate": 0.008,
                "sin_params": [
                    0.0016,
                    1.1389,
                    0.7325
                ],
                "max_theta": 26.1283
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.7894,
                        0.2044
                    ],
                    [
                        0.5877,
                        0.3014
                    ]
                ]
            }
        ],
        "relations": [
            [
                0,
                2,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.3903,
                    0.414
                ],
                "major_axis": 0.3383,
                "minor_axis": 0.3383,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.5308,
                        0.5082
                    ],
                    [
                        0.5171,
                        0.5259
                    ],
                    [
                        0.3562,
                        0.5797
                    ],
                    [
                        0.2456,
                        0.5015
                    ],
                    [
                        0.487,
                        0.2752
                    ],
                    [
                        0.4905,
                        0.2776
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "segment",
                "points": [
                    [
                        0.1795,
                        0.6311
                    ],
                    [
                        0.6516,
                        0.3566
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.4156,
                    0.4938
                ],
                "major_axis": 0.5461,
                "minor_axis": 0.5461,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "diameter"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.6779,
                    0.3008
                ],
                "major_axis": 0.4273,
                "minor_axis": 0.1163,
                "rotation": 0.6377,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5716,
                    0.5573
                ],
                "major_axis": 0.2468,
                "minor_axis": 0.2468,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.6588,
                        0.6446
                    ],
                    [
                        0.4842,
                        0.6443
                    ],
                    [
                        0.4842,
                        0.4703
                    ],
                    [
                        0.6588,
                        0.47
                    ]
                ],
                "special_info": "square",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                2,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.7526,
                    0.4306
                ],
                "major_axis": 0.5703,
                "minor_axis": 0.1752,
                "rotation": 2.1227,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.8429,
                        0.4499
                    ],
                    [
                        0.811,
                        0.5017
                    ],
                    [
                        0.6627,
                        0.4104
                    ],
                    [
                        0.6946,
                        0.3586
                    ]
                ],
                "special_info": "rectangle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.3685,
                    0.3651
                ],
                "major_axis": 0.4694,
                "minor_axis": 0.2908,
                "rotation": 0.4937,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.5593,
                        0.4977
                    ],
                    [
                        0.1514,
                        0.3134
                    ],
                    [
                        0.3821,
                        0.2128
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.3808,
                    0.6276
                ],
                "major_axis": 0.6017,
                "minor_axis": 0.2198,
                "rotation": 0.324,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "sector",
                "center": [
                    0.6604,
                    0.5613
                ],
                "radius": 0.367,
                "start_angle": 1.3251,
                "end_angle": 1.9397,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.4906,
                        0.7654
                    ],
                    [
                        0.2108,
                        0.6716
                    ],
                    [
                        0.2719,
                        0.4899
                    ],
                    [
                        0.5515,
                        0.584
                    ]
                ],
                "special_info": "rectangle",
                "fill_mode": "border"
            },
            {
                "type": "sector",
                "center": [
                    0.7497,
                    0.9173
                ],
                "radius": 0.367,
                "start_angle": 4.4667,
                "end_angle": 5.0813,
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "circumscribed"
            ],
            [
                1,
                3,
                "shared edge"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "star",
                "center": [
                    0.2228,
                    0.4477
                ],
                "outer_radius": 0.1819,
                "inner_radius": 0.0729,
                "num_points": 5,
                "rotation": 0.2555,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.3289,
                        0.7183
                    ],
                    [
                        0.2352,
                        0.8662
                    ],
                    [
                        0.0874,
                        0.7726
                    ],
                    [
                        0.181,
                        0.6247
                    ]
                ],
                "special_info": "square",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.2228,
                    0.4477
                ],
                "major_axis": 0.3638,
                "minor_axis": 0.3638,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.2081,
                    0.7454
                ],
                "major_axis": 0.2475,
                "minor_axis": 0.2475,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle"
            ],
            [
                3,
                1,
                "circumscribed circle of square"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "segment",
                "points": [
                    [
                        0.7531,
                        0.5662
                    ],
                    [
                        0.9443,
                        0.2976
                    ]
                ]
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.5168,
                        0.6712
                    ],
                    [
                        0.361,
                        0.714
                    ],
                    [
                        0.4018,
                        0.5577
                    ]
                ],
                "special_info": "equilateral triangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4266,
                    0.6476
                ],
                "major_axis": 0.0933,
                "minor_axis": 0.0933,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                1,
                "inscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "line",
                "points": [
                    [
                        0,
                        0.5016
                    ],
                    [
                        0.2291,
                        0
                    ]
                ]
            },
            {
                "type": "star",
                "center": [
                    0.7769,
                    0.3356
                ],
                "outer_radius": 0.1957,
                "inner_radius": 0.0991,
                "num_points": 5,
                "rotation": 3.4431,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.2472,
                    0.146
                ],
                "major_axis": 0.1543,
                "minor_axis": 0.1543,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.7769,
                    0.3356
                ],
                "major_axis": 0.3915,
                "minor_axis": 0.3915,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "tangent line"
            ],
            [
                3,
                1,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.7718,
                        0.6646
                    ],
                    [
                        0.4598,
                        0.6551
                    ],
                    [
                        0.624,
                        0.3897
                    ]
                ],
                "special_info": "equilateral triangle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.1936,
                        0.5835
                    ],
                    [
                        0.0204,
                        0.5782
                    ],
                    [
                        0.1116,
                        0.4309
                    ]
                ],
                "special_info": "equilateral triangle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "similar"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.6035,
                    0.6352
                ],
                "major_axis": 0.5247,
                "minor_axis": 0.1561,
                "rotation": 1.9251,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.7019,
                    0.3081
                ],
                "major_axis": 0.4908,
                "minor_axis": 0.1426,
                "rotation": 1.9425,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.6297,
                        0.7668
                    ],
                    [
                        0.498,
                        0.7181
                    ],
                    [
                        0.5777,
                        0.5028
                    ],
                    [
                        0.7093,
                        0.5515
                    ]
                ],
                "special_info": "rectangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.53,
                    0.24
                ],
                "major_axis": 0.2272,
                "minor_axis": 0.2272,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "circumscribed"
            ],
            [
                1,
                3,
                "external tangent circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "star",
                "center": [
                    0.6393,
                    0.5917
                ],
                "outer_radius": 0.1813,
                "inner_radius": 0.1173,
                "num_points": 6,
                "rotation": 1.1618,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.466,
                        0.7502
                    ],
                    [
                        0.2014,
                        0.6135
                    ],
                    [
                        0.3479,
                        0.4939
                    ]
                ],
                "special_info": "triangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6393,
                    0.5917
                ],
                "major_axis": 0.3626,
                "minor_axis": 0.3626,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.3232,
                    0.6008
                ],
                "major_axis": 0.1344,
                "minor_axis": 0.1344,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle"
            ],
            [
                3,
                1,
                "inscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.7219,
                        0.7124
                    ],
                    [
                        0.7177,
                        0.5946
                    ],
                    [
                        0.8218,
                        0.6498
                    ]
                ],
                "special_info": "equilateral triangle",
                "fill_mode": "border"
            },
            {
                "type": "sector",
                "center": [
                    0.4254,
                    0.6605
                ],
                "radius": 0.2354,
                "start_angle": 2.5945,
                "end_angle": 4.5244,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.7538,
                    0.6523
                ],
                "major_axis": 0.068,
                "minor_axis": 0.068,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.3168,
                        0.9768
                    ],
                    [
                        0.2244,
                        0.783
                    ],
                    [
                        0.4254,
                        0.6605
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "inscribed circle"
            ],
            [
                1,
                3,
                "shared edge"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "segment",
                "points": [
                    [
                        0.236,
                        0.0271
                    ],
                    [
                        0.5476,
                        0.6897
                    ]
                ]
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.4067,
                        0.7825
                    ],
                    [
                        0.3133,
                        0.5839
                    ]
                ]
            }
        ],
        "relations": [
            [
                0,
                1,
                "parallel"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.6072,
                        0.586
                    ],
                    [
                        0.7077,
                        0.644
                    ],
                    [
                        0.6072,
                        0.7021
                    ]
                ],
                "special_info": "equilateral triangle",
                "fill_mode": "border"
            },
            {
                "type": "star",
                "center": [
                    0.4134,
                    0.4332
                ],
                "outer_radius": 0.1779,
                "inner_radius": 0.1137,
                "num_points": 6,
                "rotation": 3.0081,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6407,
                    0.644
                ],
                "major_axis": 0.067,
                "minor_axis": 0.067,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4134,
                    0.4332
                ],
                "major_axis": 0.3558,
                "minor_axis": 0.3558,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "inscribed circle"
            ],
            [
                3,
                1,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.7348,
                        0.5818
                    ],
                    [
                        0.6483,
                        0.5199
                    ],
                    [
                        0.7452,
                        0.476
                    ]
                ],
                "special_info": "equilateral triangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.7094,
                    0.5259
                ],
                "major_axis": 0.1228,
                "minor_axis": 0.1228,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "circumscribed circle of triangle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.7865,
                    0.5555
                ],
                "major_axis": 0.1875,
                "minor_axis": 0.1875,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5819,
                    0.6625
                ],
                "major_axis": 0.1183,
                "minor_axis": 0.1183,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4859,
                    0.3164
                ],
                "major_axis": 0.5807,
                "minor_axis": 0.5807,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.8058,
                        0.564
                    ],
                    [
                        0.4273,
                        0.857
                    ]
                ]
            }
        ],
        "relations": [
            [
                0,
                2,
                "external tangent circle"
            ],
            [
                1,
                3,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "sector",
                "center": [
                    0.2847,
                    0.4363
                ],
                "radius": 0.2058,
                "start_angle": 0.152,
                "end_angle": 0.8623,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "sector",
                "center": [
                    0.5741,
                    0.227
                ],
                "radius": 0.1526,
                "start_angle": 2.7325,
                "end_angle": 3.8895,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "sector",
                "center": [
                    0.4881,
                    0.4674
                ],
                "radius": 0.2058,
                "start_angle": 3.2936,
                "end_angle": 4.0038,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.5762,
                        0.3154
                    ],
                    [
                        0.5093,
                        0.3841
                    ],
                    [
                        0.4341,
                        0.2877
                    ],
                    [
                        0.5741,
                        0.227
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "shared edge"
            ],
            [
                1,
                3,
                "shared edge"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.269,
                        0.2479
                    ],
                    [
                        0.6857,
                        0.1476
                    ],
                    [
                        0.9809,
                        0.4583
                    ],
                    [
                        0.8594,
                        0.8693
                    ],
                    [
                        0.4428,
                        0.9696
                    ],
                    [
                        0.1476,
                        0.6589
                    ]
                ],
                "special_info": "regular hexagon",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.6299,
                        0.6457
                    ],
                    [
                        0.5227,
                        0.5948
                    ],
                    [
                        0.3976,
                        0.3495
                    ],
                    [
                        0.7086,
                        0.3714
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5642,
                    0.5586
                ],
                "major_axis": 0.8571,
                "minor_axis": 0.8571,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle of regular hexagon"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "sector",
                "center": [
                    0.5794,
                    0.3921
                ],
                "radius": 0.359,
                "start_angle": 3.3116,
                "end_angle": 5.493,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.4289,
                        0.5063
                    ],
                    [
                        0.2255,
                        0.3313
                    ],
                    [
                        0.5794,
                        0.3921
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "shared edge"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.8805,
                        0.1571
                    ],
                    [
                        0.7706,
                        0.8805
                    ],
                    [
                        0.0472,
                        0.7706
                    ],
                    [
                        0.1571,
                        0.0472
                    ]
                ],
                "special_info": "square",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5219,
                    0.4931
                ],
                "major_axis": 0.157,
                "minor_axis": 0.157,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.6958,
                        0.535
                    ],
                    [
                        0.4761,
                        0.5837
                    ]
                ]
            }
        ],
        "relations": [
            [
                1,
                2,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.743,
                    0.4935
                ],
                "major_axis": 0.7257,
                "minor_axis": 0.1876,
                "rotation": 1.5547,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.5647,
                        0.7625
                    ],
                    [
                        0.4382,
                        0.8676
                    ],
                    [
                        0.3331,
                        0.7411
                    ],
                    [
                        0.4596,
                        0.636
                    ]
                ],
                "special_info": "square",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4489,
                    0.7518
                ],
                "major_axis": 0.2326,
                "minor_axis": 0.2326,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                1,
                "circumscribed circle of square"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.6639,
                        0.7818
                    ],
                    [
                        0.239,
                        0.5764
                    ],
                    [
                        0.2211,
                        0.5054
                    ],
                    [
                        0.5342,
                        0.5919
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.7856,
                        0.3897
                    ],
                    [
                        0.5384,
                        0.4532
                    ],
                    [
                        0.5743,
                        0.3147
                    ]
                ],
                "special_info": "triangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6592,
                    0.4106
                ],
                "major_axis": 0.2562,
                "minor_axis": 0.2562,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                1,
                "circumscribed circle of triangle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.4094,
                        0.7876
                    ],
                    [
                        0.3179,
                        0.5808
                    ],
                    [
                        0.4862,
                        0.4299
                    ],
                    [
                        0.6818,
                        0.5433
                    ],
                    [
                        0.6344,
                        0.7644
                    ]
                ],
                "special_info": "regular pentagon",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5059,
                    0.6212
                ],
                "major_axis": 0.3847,
                "minor_axis": 0.3847,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "circumscribed circle of regular pentagon"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.6973,
                        0.61
                    ],
                    [
                        0.8181,
                        0.629
                    ],
                    [
                        0.7991,
                        0.7499
                    ],
                    [
                        0.6783,
                        0.7309
                    ]
                ],
                "special_info": "square",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.2231,
                        0.0931
                    ],
                    [
                        0.7677,
                        0.265
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.7482,
                    0.68
                ],
                "major_axis": 0.173,
                "minor_axis": 0.173,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.32,
                        0.4459
                    ],
                    [
                        0.1735,
                        0.3997
                    ]
                ]
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle of square"
            ],
            [
                1,
                3,
                "parallel"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.5176,
                        0.6479
                    ],
                    [
                        0.2464,
                        0.4285
                    ],
                    [
                        0.2709,
                        0.358
                    ],
                    [
                        0.6158,
                        0.3152
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6381,
                    0.7606
                ],
                "major_axis": 0.4862,
                "minor_axis": 0.1893,
                "rotation": 0.344,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.7241,
                    0.5292
                ],
                "major_axis": 0.3044,
                "minor_axis": 0.3044,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                2,
                "external tangent circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.6158,
                        0.995
                    ],
                    [
                        0.3254,
                        0.9047
                    ],
                    [
                        0.3216,
                        0.6007
                    ],
                    [
                        0.6096,
                        0.5031
                    ],
                    [
                        0.7914,
                        0.7468
                    ]
                ],
                "special_info": "regular pentagon",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6595,
                    0.7092
                ],
                "major_axis": 0.4355,
                "minor_axis": 0.1148,
                "rotation": 3.1244,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.658,
                    0.5807
                ],
                "major_axis": 0.1422,
                "minor_axis": 0.1422,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                2,
                "external tangent circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "line",
                "points": [
                    [
                        0.8428,
                        0
                    ],
                    [
                        1,
                        0.5738
                    ]
                ]
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.3246,
                        0.1284
                    ],
                    [
                        0.7288,
                        0.8521
                    ],
                    [
                        0.5325,
                        0.9617
                    ],
                    [
                        0.1284,
                        0.238
                    ]
                ],
                "special_info": "rectangle",
                "fill_mode": "border"
            }
        ],
        "relations": []
    },
    {
        "shapes": [
            {
                "type": "segment",
                "points": [
                    [
                        0.479,
                        0.4339
                    ],
                    [
                        0.1213,
                        0.2125
                    ]
                ]
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.6468,
                        0.6279
                    ],
                    [
                        0.799,
                        0.4425
                    ],
                    [
                        0.9844,
                        0.5948
                    ],
                    [
                        0.8322,
                        0.7802
                    ]
                ],
                "special_info": "square",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.3002,
                    0.3232
                ],
                "major_axis": 0.4207,
                "minor_axis": 0.4207,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.8156,
                    0.6114
                ],
                "major_axis": 0.3393,
                "minor_axis": 0.3393,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "diameter"
            ],
            [
                3,
                1,
                "circumscribed circle of square"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.7005,
                    0.7346
                ],
                "major_axis": 0.1908,
                "minor_axis": 0.1908,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.6903,
                        0.3889
                    ],
                    [
                        0.5082,
                        0.495
                    ],
                    [
                        0.2066,
                        0.4158
                    ],
                    [
                        0.2803,
                        0.232
                    ],
                    [
                        0.6737,
                        0.3696
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.7005,
                    0.7346
                ],
                "major_axis": 0.2189,
                "minor_axis": 0.2189,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.64,
                        0.2421
                    ],
                    [
                        0.5472,
                        0.2962
                    ],
                    [
                        0.3935,
                        0.2558
                    ],
                    [
                        0.4311,
                        0.1621
                    ],
                    [
                        0.6315,
                        0.2323
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "concentric"
            ],
            [
                1,
                3,
                "similar"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.7085,
                    0.6243
                ],
                "major_axis": 0.3216,
                "minor_axis": 0.3216,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.4678,
                        0.643
                    ],
                    [
                        0.7022,
                        0.3985
                    ]
                ]
            }
        ],
        "relations": [
            [
                0,
                1,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.3476,
                    0.4627
                ],
                "major_axis": 0.5764,
                "minor_axis": 0.4151,
                "rotation": 1.3627,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "star",
                "center": [
                    0.743,
                    0.7608
                ],
                "outer_radius": 0.1712,
                "inner_radius": 0.1011,
                "num_points": 5,
                "rotation": 4.007,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.3476,
                    0.4627
                ],
                "major_axis": 0.714,
                "minor_axis": 0.5141,
                "rotation": 1.3627,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.743,
                    0.7608
                ],
                "major_axis": 0.3424,
                "minor_axis": 0.3424,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "concentric"
            ],
            [
                3,
                1,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.6498,
                        0.5485
                    ],
                    [
                        0.779,
                        0.5366
                    ],
                    [
                        0.8539,
                        0.6426
                    ],
                    [
                        0.7996,
                        0.7605
                    ],
                    [
                        0.6703,
                        0.7723
                    ],
                    [
                        0.5954,
                        0.6664
                    ]
                ],
                "special_info": "regular hexagon",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.2699,
                        0.2239
                    ],
                    [
                        0.6963,
                        0.3937
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.7247,
                    0.6545
                ],
                "major_axis": 0.2595,
                "minor_axis": 0.2595,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle of regular hexagon"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "sector",
                "center": [
                    0.6351,
                    0.6592
                ],
                "radius": 0.1959,
                "start_angle": 5.1046,
                "end_angle": 1.4087,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.3671,
                    0.3777
                ],
                "major_axis": 0.4439,
                "minor_axis": 0.4439,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.6351,
                        0.6592
                    ],
                    [
                        0.569,
                        0.479
                    ],
                    [
                        0.71,
                        0.4782
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.5239,
                        0.5347
                    ],
                    [
                        0.1474,
                        0.3464
                    ],
                    [
                        0.5449,
                        0.2448
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "shared edge"
            ],
            [
                1,
                3,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.5378,
                    0.2803
                ],
                "major_axis": 0.2206,
                "minor_axis": 0.0678,
                "rotation": 1.9909,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6932,
                    0.3526
                ],
                "major_axis": 0.2748,
                "minor_axis": 0.2748,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "external tangent circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "star",
                "center": [
                    0.4281,
                    0.7634
                ],
                "outer_radius": 0.2409,
                "inner_radius": 0.1014,
                "num_points": 6,
                "rotation": 3.034,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.7884,
                        0.6049
                    ],
                    [
                        0.6952,
                        0.731
                    ],
                    [
                        0.5465,
                        0.6813
                    ],
                    [
                        0.5478,
                        0.5246
                    ],
                    [
                        0.6973,
                        0.4773
                    ]
                ],
                "special_info": "regular pentagon",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.655,
                    0.6038
                ],
                "major_axis": 0.2667,
                "minor_axis": 0.2667,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                1,
                "circumscribed circle of regular pentagon"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.3064,
                    0.7806
                ],
                "major_axis": 0.1361,
                "minor_axis": 0.1361,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.7656,
                        0.7194
                    ],
                    [
                        0.4233,
                        0.7253
                    ],
                    [
                        0.2361,
                        0.4558
                    ]
                ],
                "special_info": "triangle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.201,
                        0.8668
                    ],
                    [
                        0.2844,
                        0.6463
                    ],
                    [
                        0.4337,
                        0.8288
                    ]
                ],
                "special_info": "equilateral triangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5891,
                    0.4104
                ],
                "major_axis": 0.7118,
                "minor_axis": 0.7118,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "inscribed"
            ],
            [
                3,
                1,
                "circumscribed circle of triangle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "star",
                "center": [
                    0.6585,
                    0.7159
                ],
                "outer_radius": 0.2434,
                "inner_radius": 0.1596,
                "num_points": 6,
                "rotation": 1.9475,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6585,
                    0.7159
                ],
                "major_axis": 0.4867,
                "minor_axis": 0.4867,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.4658,
                    0.4051
                ],
                "major_axis": 0.1011,
                "minor_axis": 0.1011,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "star",
                "center": [
                    0.4258,
                    0.498
                ],
                "outer_radius": 0.1556,
                "inner_radius": 0.0892,
                "num_points": 6,
                "rotation": 3.3217,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4258,
                    0.498
                ],
                "major_axis": 0.3112,
                "minor_axis": 0.3112,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                1,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.2919,
                    0.3216
                ],
                "major_axis": 0.1075,
                "minor_axis": 0.1075,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.3351,
                        0.5179
                    ],
                    [
                        0.2055,
                        0.2735
                    ]
                ]
            }
        ],
        "relations": [
            [
                0,
                1,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "sector",
                "center": [
                    0.3122,
                    0.3863
                ],
                "radius": 0.2988,
                "start_angle": 3.4401,
                "end_angle": 5.6887,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.9473,
                        0.6019
                    ],
                    [
                        0.4779,
                        0.4551
                    ]
                ]
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.3122,
                        0.3863
                    ],
                    [
                        0.1524,
                        0.4648
                    ],
                    [
                        0.0266,
                        0.2984
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.7126,
                    0.5285
                ],
                "major_axis": 0.4918,
                "minor_axis": 0.4918,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "shared edge"
            ],
            [
                1,
                3,
                "diameter"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.3632,
                    0.2483
                ],
                "major_axis": 0.4325,
                "minor_axis": 0.4325,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.2374,
                    0.496
                ],
                "major_axis": 0.1926,
                "minor_axis": 0.1926,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.3068,
                        0.0196
                    ],
                    [
                        0.0844,
                        0.1885
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.2374,
                    0.496
                ],
                "major_axis": 0.2246,
                "minor_axis": 0.2246,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "tangent line"
            ],
            [
                1,
                3,
                "concentric"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "spiral",
                "center": [
                    0.5846,
                    0.55
                ],
                "initial_radius": 0.0004,
                "growth_rate": 0.0106,
                "sin_params": [
                    0.0011,
                    1.21,
                    0.7987
                ],
                "max_theta": 37.3792
            },
            {
                "type": "ray",
                "points": [
                    [
                        0.657,
                        0.1927
                    ],
                    [
                        0.4696,
                        0
                    ]
                ]
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.9728,
                        0.2672
                    ],
                    [
                        0.8112,
                        0.1011
                    ]
                ]
            }
        ],
        "relations": [
            [
                1,
                2,
                "parallel"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.2756,
                    0.78
                ],
                "major_axis": 0.3029,
                "minor_axis": 0.3029,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5867,
                    0.7771
                ],
                "major_axis": 0.1745,
                "minor_axis": 0.1745,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.4643,
                        0.7931
                    ],
                    [
                        0.3536,
                        0.6213
                    ]
                ]
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.4861,
                        0.9197
                    ],
                    [
                        0.5136,
                        0.6187
                    ],
                    [
                        0.7605,
                        0.793
                    ]
                ],
                "special_info": "equilateral triangle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "tangent line"
            ],
            [
                1,
                3,
                "inscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.7067,
                    0.5894
                ],
                "major_axis": 0.3973,
                "minor_axis": 0.3973,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.7067,
                    0.5894
                ],
                "major_axis": 0.4482,
                "minor_axis": 0.4482,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.7067,
                    0.5894
                ],
                "major_axis": 0.5057,
                "minor_axis": 0.5057,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "concentric"
            ],
            [
                1,
                2,
                "concentric"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.7927,
                    0.4455
                ],
                "major_axis": 0.1629,
                "minor_axis": 0.1629,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.8502,
                        0.5032
                    ],
                    [
                        0.7349,
                        0.503
                    ],
                    [
                        0.7349,
                        0.388
                    ],
                    [
                        0.8502,
                        0.3879
                    ]
                ],
                "special_info": "square",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.4812,
                        0.7548
                    ],
                    [
                        0.6015,
                        0.6612
                    ],
                    [
                        0.7277,
                        0.7466
                    ],
                    [
                        0.6855,
                        0.8931
                    ],
                    [
                        0.5331,
                        0.8982
                    ]
                ],
                "special_info": "regular pentagon",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6058,
                    0.7908
                ],
                "major_axis": 0.2593,
                "minor_axis": 0.2593,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "circumscribed circle of regular pentagon"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.5611,
                        0.5548
                    ],
                    [
                        0.7847,
                        0.5112
                    ],
                    [
                        0.8952,
                        0.7105
                    ],
                    [
                        0.7399,
                        0.8771
                    ],
                    [
                        0.5334,
                        0.7809
                    ]
                ],
                "special_info": "regular pentagon",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6244,
                    0.2028
                ],
                "major_axis": 0.4911,
                "minor_axis": 0.2719,
                "rotation": 2.435,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.7029,
                    0.6869
                ],
                "major_axis": 0.3876,
                "minor_axis": 0.3876,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.7919,
                        0.2162
                    ],
                    [
                        0.6107,
                        0.3706
                    ],
                    [
                        0.4564,
                        0.1899
                    ],
                    [
                        0.6374,
                        0.0352
                    ]
                ],
                "special_info": "square",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle of regular pentagon"
            ],
            [
                1,
                3,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.6393,
                    0.3706
                ],
                "major_axis": 0.3593,
                "minor_axis": 0.3593,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.9298,
                        0.3351
                    ],
                    [
                        0.6657,
                        0.1771
                    ]
                ]
            }
        ],
        "relations": [
            [
                0,
                1,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.5015,
                        0.7214
                    ],
                    [
                        0.5951,
                        0.6138
                    ],
                    [
                        0.7262,
                        0.6696
                    ],
                    [
                        0.7137,
                        0.8116
                    ],
                    [
                        0.5748,
                        0.8436
                    ]
                ],
                "special_info": "regular pentagon",
                "fill_mode": "border"
            },
            {
                "type": "sector",
                "center": [
                    0.2838,
                    0.7334
                ],
                "radius": 0.2079,
                "start_angle": 4.1513,
                "end_angle": 4.9646,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.2838,
                        0.7334
                    ],
                    [
                        0.0937,
                        0.6573
                    ],
                    [
                        0.1732,
                        0.5574
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                2,
                "shared edge"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "sector",
                "center": [
                    0.6743,
                    0.7512
                ],
                "radius": 0.2411,
                "start_angle": 2.8304,
                "end_angle": 4.6319,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.3924,
                        0.1535
                    ],
                    [
                        0.5424,
                        0.3065
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.4674,
                    0.23
                ],
                "major_axis": 0.2386,
                "minor_axis": 0.2143,
                "rotation": 2.366,
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                2,
                "minor axis"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "spiral",
                "center": [
                    0.5475,
                    0.5277
                ],
                "initial_radius": 0.0003,
                "growth_rate": 0.009,
                "sin_params": [
                    0.0011,
                    0.8231,
                    0.4694
                ],
                "max_theta": 28.4636
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.8944,
                        0.3443
                    ],
                    [
                        0.7011,
                        0.7581
                    ]
                ]
            }
        ],
        "relations": []
    },
    {
        "shapes": [
            {
                "type": "sector",
                "center": [
                    0.5512,
                    0.6003
                ],
                "radius": 0.1985,
                "start_angle": 2.9895,
                "end_angle": 4.1212,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.0747,
                        0.5266
                    ],
                    [
                        0.2305,
                        0.1354
                    ],
                    [
                        0.6472,
                        0.0747
                    ],
                    [
                        0.9081,
                        0.4052
                    ],
                    [
                        0.7523,
                        0.7964
                    ],
                    [
                        0.3356,
                        0.8571
                    ]
                ],
                "special_info": "regular hexagon",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4914,
                    0.4659
                ],
                "major_axis": 0.8421,
                "minor_axis": 0.8421,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                1,
                "circumscribed circle of regular hexagon"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "segment",
                "points": [
                    [
                        0.9467,
                        0.6665
                    ],
                    [
                        0.3728,
                        0.1926
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.6114,
                    0.1938
                ],
                "major_axis": 0.3022,
                "minor_axis": 0.3022,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "star",
                "center": [
                    0.3761,
                    0.2804
                ],
                "outer_radius": 0.1909,
                "inner_radius": 0.1014,
                "num_points": 5,
                "rotation": 6.2376,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.392,
                    0.5602
                ],
                "major_axis": 0.4965,
                "minor_axis": 0.1821,
                "rotation": 1.243,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.3761,
                    0.2804
                ],
                "major_axis": 0.3818,
                "minor_axis": 0.3818,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.1875,
                    0.6287
                ],
                "major_axis": 0.2491,
                "minor_axis": 0.2491,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle"
            ],
            [
                1,
                3,
                "external tangent circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.2215,
                    0.5444
                ],
                "major_axis": 0.6025,
                "minor_axis": 0.284,
                "rotation": 0.996,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4196,
                    0.2361
                ],
                "major_axis": 0.3613,
                "minor_axis": 0.1432,
                "rotation": 1.0342,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.4153,
                        0.635
                    ],
                    [
                        0.225,
                        0.7583
                    ],
                    [
                        0.0276,
                        0.453
                    ],
                    [
                        0.2174,
                        0.33
                    ]
                ],
                "special_info": "rectangle",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.5226,
                        0.4522
                    ],
                    [
                        0.3,
                        0.2371
                    ]
                ]
            }
        ],
        "relations": [
            [
                0,
                2,
                "circumscribed"
            ],
            [
                1,
                3,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.6243,
                    0.7183
                ],
                "major_axis": 0.4055,
                "minor_axis": 0.1366,
                "rotation": 2.578,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "star",
                "center": [
                    0.527,
                    0.2703
                ],
                "outer_radius": 0.1758,
                "inner_radius": 0.0966,
                "num_points": 6,
                "rotation": 4.9649,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.5077,
                        0.7136
                    ],
                    [
                        0.6271,
                        0.6343
                    ],
                    [
                        0.8578,
                        0.5437
                    ],
                    [
                        0.7583,
                        0.7079
                    ],
                    [
                        0.6476,
                        0.7865
                    ],
                    [
                        0.3394,
                        0.9364
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.527,
                    0.2703
                ],
                "major_axis": 0.3517,
                "minor_axis": 0.3517,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "inscribed"
            ],
            [
                3,
                1,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.3253,
                        0.9852
                    ],
                    [
                        0.1519,
                        0.1519
                    ],
                    [
                        0.9602,
                        0.4184
                    ]
                ],
                "special_info": "equilateral triangle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.3629,
                        0.6327
                    ],
                    [
                        0.4915,
                        0.3633
                    ],
                    [
                        0.6108,
                        0.4649
                    ]
                ],
                "special_info": "triangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.512,
                    0.4595
                ],
                "major_axis": 0.1198,
                "minor_axis": 0.1198,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                1,
                "inscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "star",
                "center": [
                    0.2641,
                    0.4639
                ],
                "outer_radius": 0.1678,
                "inner_radius": 0.111,
                "num_points": 6,
                "rotation": 0.186,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.2641,
                    0.4639
                ],
                "major_axis": 0.3357,
                "minor_axis": 0.3357,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "star",
                "center": [
                    0.2835,
                    0.697
                ],
                "outer_radius": 0.2401,
                "inner_radius": 0.1141,
                "num_points": 5,
                "rotation": 1.0234,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.2835,
                    0.697
                ],
                "major_axis": 0.4802,
                "minor_axis": 0.4802,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.4178,
                    0.4641
                ],
                "major_axis": 0.3693,
                "minor_axis": 0.3693,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.3749,
                    0.7091
                ],
                "major_axis": 0.1656,
                "minor_axis": 0.1656,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4178,
                    0.4641
                ],
                "major_axis": 0.4815,
                "minor_axis": 0.4815,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.4186,
                        0.8252
                    ],
                    [
                        0.2759,
                        0.7509
                    ],
                    [
                        0.3247,
                        0.5886
                    ],
                    [
                        0.4788,
                        0.6706
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "concentric"
            ],
            [
                1,
                3,
                "inscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.6858,
                    0.3256
                ],
                "major_axis": 0.6067,
                "minor_axis": 0.1826,
                "rotation": 1.976,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "sector",
                "center": [
                    0.4601,
                    0.502
                ],
                "radius": 0.2979,
                "start_angle": 1.6934,
                "end_angle": 3.6213,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.7204,
                        0.4894
                    ],
                    [
                        0.8287,
                        0.2122
                    ]
                ]
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.4237,
                        0.7976
                    ],
                    [
                        0.4601,
                        0.502
                    ],
                    [
                        0.6169,
                        0.6281
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "tangent line"
            ],
            [
                1,
                3,
                "shared edge"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.1368,
                        0.0493
                    ],
                    [
                        0.8826,
                        0.2723
                    ],
                    [
                        0.7951,
                        0.5651
                    ],
                    [
                        0.0493,
                        0.342
                    ]
                ],
                "special_info": "rectangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.3965,
                    0.2454
                ],
                "major_axis": 0.184,
                "minor_axis": 0.184,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.3965,
                    0.2454
                ],
                "major_axis": 0.2306,
                "minor_axis": 0.2306,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.3965,
                    0.2454
                ],
                "major_axis": 0.2889,
                "minor_axis": 0.2889,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                2,
                "concentric"
            ],
            [
                2,
                3,
                "concentric"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "line",
                "points": [
                    [
                        0.542,
                        1
                    ],
                    [
                        0,
                        0.7663
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.4065,
                    0.7189
                ],
                "major_axis": 0.217,
                "minor_axis": 0.217,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.4702,
                        0.8581
                    ],
                    [
                        0.267,
                        0.783
                    ],
                    [
                        0.3426,
                        0.5792
                    ],
                    [
                        0.5463,
                        0.6552
                    ]
                ],
                "special_info": "square",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                2,
                "inscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "segment",
                "points": [
                    [
                        0.6993,
                        0.809
                    ],
                    [
                        0.9647,
                        0.5849
                    ]
                ]
            },
            {
                "type": "ray",
                "points": [
                    [
                        0.0952,
                        0.5026
                    ],
                    [
                        0.321,
                        1
                    ]
                ]
            }
        ],
        "relations": []
    },
    {
        "shapes": [
            {
                "type": "line",
                "points": [
                    [
                        0.3746,
                        0
                    ],
                    [
                        1,
                        0.3328
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.6687,
                    0.348
                ],
                "major_axis": 0.1373,
                "minor_axis": 0.1373,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.8774,
                    0.3147
                ],
                "major_axis": 0.0832,
                "minor_axis": 0.0832,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.691,
                        0.4129
                    ],
                    [
                        0.6461,
                        0.4128
                    ],
                    [
                        0.6461,
                        0.2832
                    ],
                    [
                        0.691,
                        0.2831
                    ]
                ],
                "special_info": "rectangle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "tangent line"
            ],
            [
                1,
                3,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.7279,
                    0.2031
                ],
                "major_axis": 0.2089,
                "minor_axis": 0.2089,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.4637,
                        0.6003
                    ],
                    [
                        0.6033,
                        0.6083
                    ],
                    [
                        0.6662,
                        0.7332
                    ],
                    [
                        0.5895,
                        0.8501
                    ],
                    [
                        0.4499,
                        0.8421
                    ],
                    [
                        0.387,
                        0.7173
                    ]
                ],
                "special_info": "regular hexagon",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.7151,
                        0.3499
                    ],
                    [
                        0.5806,
                        0.1905
                    ],
                    [
                        0.7406,
                        0.0558
                    ],
                    [
                        0.8751,
                        0.2161
                    ]
                ],
                "special_info": "square",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5266,
                    0.7252
                ],
                "major_axis": 0.2797,
                "minor_axis": 0.2797,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "inscribed"
            ],
            [
                3,
                1,
                "circumscribed circle of regular hexagon"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.7843,
                    0.6018
                ],
                "major_axis": 0.3668,
                "minor_axis": 0.3668,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4948,
                    0.2832
                ],
                "major_axis": 0.1818,
                "minor_axis": 0.1818,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.8534,
                        0.7974
                    ],
                    [
                        0.6084,
                        0.7613
                    ]
                ]
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.5195,
                        0.3707
                    ],
                    [
                        0.4952,
                        0.3741
                    ],
                    [
                        0.4606,
                        0.199
                    ],
                    [
                        0.5308,
                        0.1997
                    ],
                    [
                        0.5626,
                        0.2226
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "tangent line"
            ],
            [
                1,
                3,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.4727,
                    0.4848
                ],
                "major_axis": 0.2794,
                "minor_axis": 0.2794,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4727,
                    0.4848
                ],
                "major_axis": 0.4177,
                "minor_axis": 0.4177,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4727,
                    0.4848
                ],
                "major_axis": 0.6246,
                "minor_axis": 0.6246,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4727,
                    0.4848
                ],
                "major_axis": 0.934,
                "minor_axis": 0.934,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "concentric"
            ],
            [
                1,
                2,
                "concentric"
            ],
            [
                2,
                3,
                "concentric"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.7625,
                    0.5337
                ],
                "major_axis": 0.4008,
                "minor_axis": 0.2201,
                "rotation": 1.417,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.7287,
                        0.5554
                    ],
                    [
                        0.7055,
                        0.565
                    ],
                    [
                        0.2012,
                        0.3273
                    ],
                    [
                        0.2672,
                        0.2922
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.7884,
                    0.5298
                ],
                "major_axis": 0.1677,
                "minor_axis": 0.1677,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.9521,
                        0.5346
                    ],
                    [
                        0.9154,
                        0.5498
                    ],
                    [
                        0.1188,
                        0.1743
                    ],
                    [
                        0.2231,
                        0.1188
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "internal tangent circle"
            ],
            [
                1,
                3,
                "similar"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.4833,
                        0.4476
                    ],
                    [
                        0.666,
                        0.3976
                    ],
                    [
                        0.77,
                        0.5559
                    ],
                    [
                        0.6516,
                        0.7037
                    ],
                    [
                        0.4744,
                        0.6368
                    ]
                ],
                "special_info": "regular pentagon",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6091,
                    0.5483
                ],
                "major_axis": 0.3222,
                "minor_axis": 0.3222,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "circumscribed circle of regular pentagon"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.6767,
                    0.3203
                ],
                "major_axis": 0.4309,
                "minor_axis": 0.1487,
                "rotation": 0.7701,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6023,
                    0.3949
                ],
                "major_axis": 0.062,
                "minor_axis": 0.062,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "external tangent circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.2014,
                    0.6247
                ],
                "major_axis": 0.3421,
                "minor_axis": 0.3421,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.5257,
                        0.6475
                    ],
                    [
                        0.2491,
                        0.4854
                    ],
                    [
                        0.4133,
                        0.3537
                    ]
                ],
                "special_info": "triangle",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.0215,
                        0.5956
                    ],
                    [
                        0.0877,
                        0.478
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.4134,
                    0.5221
                ],
                "major_axis": 0.3367,
                "minor_axis": 0.3367,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "tangent line"
            ],
            [
                3,
                1,
                "circumscribed circle of triangle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "sector",
                "center": [
                    0.6465,
                    0.7934
                ],
                "radius": 0.1112,
                "start_angle": 5.692,
                "end_angle": 1.8502,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "sector",
                "center": [
                    0.7389,
                    0.7314
                ],
                "radius": 0.1112,
                "start_angle": 2.5504,
                "end_angle": 4.9918,
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "shared edge"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ray",
                "points": [
                    [
                        0.8981,
                        0.9369
                    ],
                    [
                        0.2782,
                        1
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.4357,
                    0.407
                ],
                "major_axis": 0.1728,
                "minor_axis": 0.1728,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.2686,
                        0.3629
                    ],
                    [
                        0.5574,
                        0.2843
                    ],
                    [
                        0.4811,
                        0.5738
                    ]
                ],
                "special_info": "equilateral triangle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                2,
                "inscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.6579,
                        0.4762
                    ],
                    [
                        0.6183,
                        0.9752
                    ],
                    [
                        0.2059,
                        0.6914
                    ]
                ],
                "special_info": "equilateral triangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.494,
                    0.7143
                ],
                "major_axis": 0.289,
                "minor_axis": 0.289,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "inscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "line",
                "points": [
                    [
                        0.1451,
                        0
                    ],
                    [
                        0,
                        0.2625
                    ]
                ]
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.549,
                        0.5539
                    ],
                    [
                        0.343,
                        0.5743
                    ],
                    [
                        0.2933,
                        0.4619
                    ],
                    [
                        0.4047,
                        0.2667
                    ],
                    [
                        0.4925,
                        0.2342
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.7154,
                        0.8725
                    ],
                    [
                        0.2107,
                        0.9223
                    ],
                    [
                        0.089,
                        0.647
                    ],
                    [
                        0.362,
                        0.1687
                    ],
                    [
                        0.5771,
                        0.089
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                2,
                "similar"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "line",
                "points": [
                    [
                        1,
                        0.3609
                    ],
                    [
                        0.7763,
                        1
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.4388,
                    0.7219
                ],
                "major_axis": 0.28,
                "minor_axis": 0.28,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.5181,
                        0.8372
                    ],
                    [
                        0.3599,
                        0.8375
                    ],
                    [
                        0.3599,
                        0.6063
                    ],
                    [
                        0.5181,
                        0.6065
                    ]
                ],
                "special_info": "rectangle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                2,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.736,
                    0.7144
                ],
                "major_axis": 0.3288,
                "minor_axis": 0.3288,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.736,
                    0.7144
                ],
                "major_axis": 0.449,
                "minor_axis": 0.449,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "concentric"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "star",
                "center": [
                    0.3733,
                    0.5066
                ],
                "outer_radius": 0.1893,
                "inner_radius": 0.0861,
                "num_points": 6,
                "rotation": 1.4615,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.3733,
                    0.5066
                ],
                "major_axis": 0.3786,
                "minor_axis": 0.3786,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.2933,
                    0.5439
                ],
                "major_axis": 0.1922,
                "minor_axis": 0.1922,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "line",
                "points": [
                    [
                        1,
                        0.6397
                    ],
                    [
                        0.6509,
                        1
                    ]
                ]
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.3551,
                        0.6344
                    ],
                    [
                        0.2517,
                        0.6446
                    ],
                    [
                        0.1811,
                        0.5588
                    ],
                    [
                        0.2283,
                        0.4543
                    ],
                    [
                        0.3419,
                        0.4419
                    ],
                    [
                        0.4041,
                        0.5383
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "inscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "star",
                "center": [
                    0.6716,
                    0.6462
                ],
                "outer_radius": 0.3112,
                "inner_radius": 0.2029,
                "num_points": 5,
                "rotation": 3.521,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6716,
                    0.6462
                ],
                "major_axis": 0.6225,
                "minor_axis": 0.6225,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "segment",
                "points": [
                    [
                        0.4205,
                        0.9895
                    ],
                    [
                        0.4371,
                        0.6789
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.2729,
                    0.6383
                ],
                "major_axis": 0.1595,
                "minor_axis": 0.1595,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.2008,
                        0.7252
                    ],
                    [
                        0.1863,
                        0.5665
                    ],
                    [
                        0.3448,
                        0.5513
                    ],
                    [
                        0.3599,
                        0.7104
                    ]
                ],
                "special_info": "square",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                2,
                "inscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "star",
                "center": [
                    0.3332,
                    0.4726
                ],
                "outer_radius": 0.1607,
                "inner_radius": 0.0961,
                "num_points": 6,
                "rotation": 6.161,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6985,
                    0.205
                ],
                "major_axis": 0.6082,
                "minor_axis": 0.1876,
                "rotation": 2.6825,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.3332,
                    0.4726
                ],
                "major_axis": 0.3214,
                "minor_axis": 0.3214,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.8432,
                        0.239
                    ],
                    [
                        0.6487,
                        0.3334
                    ]
                ]
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle"
            ],
            [
                1,
                3,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.7542,
                    0.6878
                ],
                "major_axis": 0.2096,
                "minor_axis": 0.2096,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.8591,
                        0.614
                    ],
                    [
                        0.538,
                        0.8912
                    ],
                    [
                        0.1374,
                        0.7518
                    ],
                    [
                        0.0579,
                        0.3351
                    ],
                    [
                        0.379,
                        0.0579
                    ],
                    [
                        0.7796,
                        0.1973
                    ]
                ],
                "special_info": "regular hexagon",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4585,
                    0.4746
                ],
                "major_axis": 0.8484,
                "minor_axis": 0.8484,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                1,
                "circumscribed circle of regular hexagon"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.6287,
                        0.5269
                    ],
                    [
                        0.2549,
                        0.2798
                    ],
                    [
                        0.6913,
                        0.2894
                    ]
                ],
                "special_info": "triangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5723,
                    0.379
                ],
                "major_axis": 0.1845,
                "minor_axis": 0.1845,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "inscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.676,
                    0.639
                ],
                "major_axis": 0.3306,
                "minor_axis": 0.1359,
                "rotation": 0.4244,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.689,
                        0.7168
                    ],
                    [
                        0.6086,
                        0.6804
                    ],
                    [
                        0.6625,
                        0.561
                    ],
                    [
                        0.743,
                        0.5974
                    ]
                ],
                "special_info": "rectangle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "star",
                "center": [
                    0.448,
                    0.5258
                ],
                "outer_radius": 0.2703,
                "inner_radius": 0.1235,
                "num_points": 6,
                "rotation": 2.4337,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4636,
                    0.21
                ],
                "major_axis": 0.2762,
                "minor_axis": 0.2762,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.448,
                    0.5258
                ],
                "major_axis": 0.5406,
                "minor_axis": 0.5406,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.3036,
                        0.3617
                    ],
                    [
                        0.3382,
                        0.1072
                    ]
                ]
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle"
            ],
            [
                1,
                3,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "segment",
                "points": [
                    [
                        0.4679,
                        0.8574
                    ],
                    [
                        0.1825,
                        0.1119
                    ]
                ]
            },
            {
                "type": "star",
                "center": [
                    0.5538,
                    0.3344
                ],
                "outer_radius": 0.2036,
                "inner_radius": 0.1002,
                "num_points": 6,
                "rotation": 5.9701,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.1191,
                    0.2075
                ],
                "major_axis": 0.1867,
                "minor_axis": 0.1867,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5538,
                    0.3344
                ],
                "major_axis": 0.4072,
                "minor_axis": 0.4072,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "tangent line"
            ],
            [
                3,
                1,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "star",
                "center": [
                    0.715,
                    0.4648
                ],
                "outer_radius": 0.2367,
                "inner_radius": 0.1501,
                "num_points": 6,
                "rotation": 0.2361,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "line",
                "points": [
                    [
                        0,
                        0.1475
                    ],
                    [
                        0.2799,
                        0
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.715,
                    0.4648
                ],
                "major_axis": 0.4735,
                "minor_axis": 0.4735,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.7706,
                        0.5024
                    ],
                    [
                        0.242,
                        0.5476
                    ],
                    [
                        0.3492,
                        0.2394
                    ],
                    [
                        0.7003,
                        0.2398
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.9951,
                        0.5764
                    ],
                    [
                        0.1618,
                        0.6478
                    ],
                    [
                        0.3307,
                        0.1618
                    ],
                    [
                        0.8843,
                        0.1625
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "similar"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.5626,
                    0.5986
                ],
                "major_axis": 0.2459,
                "minor_axis": 0.2459,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.7609,
                        0.6187
                    ],
                    [
                        0.5441,
                        0.4102
                    ]
                ]
            }
        ],
        "relations": [
            [
                0,
                1,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.7323,
                    0.655
                ],
                "major_axis": 0.5695,
                "minor_axis": 0.1658,
                "rotation": 2.4819,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.041,
                        0.6606
                    ],
                    [
                        0.0005,
                        0.2439
                    ],
                    [
                        0.3411,
                        0.0005
                    ],
                    [
                        0.7222,
                        0.1738
                    ],
                    [
                        0.7627,
                        0.5904
                    ],
                    [
                        0.4221,
                        0.8338
                    ]
                ],
                "special_info": "regular hexagon",
                "fill_mode": "border"
            }
        ],
        "relations": []
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.3078,
                    0.304
                ],
                "major_axis": 0.5569,
                "minor_axis": 0.218,
                "rotation": 1.2146,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.2353,
                    0.604
                ],
                "major_axis": 0.1878,
                "minor_axis": 0.1878,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.2897,
                    0.3106
                ],
                "major_axis": 0.1796,
                "minor_axis": 0.1796,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.2353,
                    0.604
                ],
                "major_axis": 0.2472,
                "minor_axis": 0.2472,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "internal tangent circle"
            ],
            [
                1,
                3,
                "concentric"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.7786,
                        0.78
                    ],
                    [
                        0.3619,
                        0.89
                    ],
                    [
                        0.0583,
                        0.5841
                    ],
                    [
                        0.1714,
                        0.1683
                    ],
                    [
                        0.5881,
                        0.0583
                    ],
                    [
                        0.8917,
                        0.3642
                    ]
                ],
                "special_info": "regular hexagon",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5718,
                    0.3741
                ],
                "major_axis": 0.238,
                "minor_axis": 0.238,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.475,
                    0.4742
                ],
                "major_axis": 0.8619,
                "minor_axis": 0.8619,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.683,
                        0.4166
                    ],
                    [
                        0.4529,
                        0.3722
                    ],
                    [
                        0.5717,
                        0.2551
                    ],
                    [
                        0.6754,
                        0.3154
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle of regular hexagon"
            ],
            [
                1,
                3,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "segment",
                "points": [
                    [
                        0.3592,
                        0.0849
                    ],
                    [
                        0.1164,
                        0.2979
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.2344,
                    0.7745
                ],
                "major_axis": 0.0911,
                "minor_axis": 0.0911,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.2378,
                    0.1914
                ],
                "major_axis": 0.323,
                "minor_axis": 0.2329,
                "rotation": 2.4215,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.2301,
                        0.8387
                    ],
                    [
                        0.1701,
                        0.7703
                    ],
                    [
                        0.2388,
                        0.7102
                    ],
                    [
                        0.2987,
                        0.779
                    ]
                ],
                "special_info": "square",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "major axis"
            ],
            [
                1,
                3,
                "inscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ray",
                "points": [
                    [
                        0.1087,
                        0.6835
                    ],
                    [
                        0.324,
                        1
                    ]
                ]
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.5841,
                        0.7259
                    ],
                    [
                        0.1944,
                        0.4758
                    ],
                    [
                        0.4444,
                        0.0861
                    ],
                    [
                        0.8342,
                        0.3361
                    ]
                ],
                "special_info": "square",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5143,
                    0.406
                ],
                "major_axis": 0.6549,
                "minor_axis": 0.6549,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                1,
                "circumscribed circle of square"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.7155,
                        0.5876
                    ],
                    [
                        0.3523,
                        0.5955
                    ],
                    [
                        0.5158,
                        0.4366
                    ]
                ],
                "special_info": "triangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5212,
                    0.5248
                ],
                "major_axis": 0.134,
                "minor_axis": 0.134,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "inscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ray",
                "points": [
                    [
                        0.9816,
                        0.1719
                    ],
                    [
                        1,
                        0.6163
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.564,
                    0.7582
                ],
                "major_axis": 0.4147,
                "minor_axis": 0.1258,
                "rotation": 0.8771,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.6169,
                        0.8948
                    ],
                    [
                        0.5238,
                        0.8081
                    ],
                    [
                        0.6129,
                        0.7187
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                2,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.6136,
                    0.5847
                ],
                "major_axis": 0.2126,
                "minor_axis": 0.2126,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6136,
                    0.5847
                ],
                "major_axis": 0.2473,
                "minor_axis": 0.2473,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6136,
                    0.5847
                ],
                "major_axis": 0.2875,
                "minor_axis": 0.2875,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "concentric"
            ],
            [
                1,
                2,
                "concentric"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.8042,
                        0.7533
                    ],
                    [
                        0.3001,
                        0.8683
                    ],
                    [
                        0.0349,
                        0.4243
                    ],
                    [
                        0.3752,
                        0.0349
                    ],
                    [
                        0.8507,
                        0.2383
                    ]
                ],
                "special_info": "regular pentagon",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.5214,
                        0.5141
                    ],
                    [
                        0.3859,
                        0.6069
                    ],
                    [
                        0.2698,
                        0.6178
                    ],
                    [
                        0.5593,
                        0.3336
                    ],
                    [
                        0.5712,
                        0.3828
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.473,
                    0.4638
                ],
                "major_axis": 0.8798,
                "minor_axis": 0.8798,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.4607,
                        0.29
                    ],
                    [
                        0.3768,
                        0.3474
                    ],
                    [
                        0.3049,
                        0.3542
                    ],
                    [
                        0.4842,
                        0.1781
                    ],
                    [
                        0.4916,
                        0.2086
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle of regular pentagon"
            ],
            [
                1,
                3,
                "similar"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "star",
                "center": [
                    0.7514,
                    0.5401
                ],
                "outer_radius": 0.1717,
                "inner_radius": 0.0862,
                "num_points": 6,
                "rotation": 5.6423,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.7514,
                    0.5401
                ],
                "major_axis": 0.3434,
                "minor_axis": 0.3434,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.7797,
                        0.466
                    ],
                    [
                        0.4747,
                        0.9709
                    ],
                    [
                        0.3062,
                        0.8692
                    ],
                    [
                        0.6112,
                        0.3642
                    ]
                ],
                "special_info": "rectangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5429,
                    0.6676
                ],
                "major_axis": 0.6219,
                "minor_axis": 0.6219,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "circumscribed circle of rectangle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.4673,
                    0.7513
                ],
                "major_axis": 0.5329,
                "minor_axis": 0.2219,
                "rotation": 0.6279,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.6925,
                        0.8749
                    ],
                    [
                        0.6898,
                        0.8939
                    ],
                    [
                        0.5834,
                        0.9276
                    ],
                    [
                        0.3844,
                        0.8277
                    ],
                    [
                        0.3341,
                        0.5722
                    ],
                    [
                        0.6092,
                        0.7275
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.6282,
                        0.5517
                    ],
                    [
                        0.4451,
                        0.6302
                    ],
                    [
                        0.4559,
                        0.3264
                    ]
                ],
                "special_info": "triangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6497,
                    0.7139
                ],
                "major_axis": 0.1787,
                "minor_axis": 0.1787,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4889,
                    0.4797
                ],
                "major_axis": 0.3135,
                "minor_axis": 0.3135,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.7164,
                        0.9489
                    ],
                    [
                        0.5253,
                        0.698
                    ]
                ]
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle of triangle"
            ],
            [
                1,
                3,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ray",
                "points": [
                    [
                        0.7735,
                        0.4061
                    ],
                    [
                        1,
                        0.1808
                    ]
                ]
            },
            {
                "type": "ray",
                "points": [
                    [
                        0.5224,
                        0.7839
                    ],
                    [
                        0.625,
                        1
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.5811,
                    0.9622
                ],
                "major_axis": 0.0468,
                "minor_axis": 0.0468,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                2,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "segment",
                "points": [
                    [
                        0.3107,
                        0.9989
                    ],
                    [
                        0.4113,
                        0.8223
                    ]
                ]
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.8013,
                        0.4132
                    ],
                    [
                        0.5232,
                        0.0221
                    ]
                ]
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.5581,
                        0.8131
                    ],
                    [
                        0.7649,
                        0.4502
                    ]
                ]
            }
        ],
        "relations": [
            [
                0,
                2,
                "parallel"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "sector",
                "center": [
                    0.2601,
                    0.212
                ],
                "radius": 0.1245,
                "start_angle": 1.9219,
                "end_angle": 3.7551,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.561,
                    0.3669
                ],
                "major_axis": 0.1433,
                "minor_axis": 0.1433,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "sector",
                "center": [
                    0.2173,
                    0.3289
                ],
                "radius": 0.1245,
                "start_angle": 5.0635,
                "end_angle": 0.6135,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.6054,
                        0.4577
                    ],
                    [
                        0.47,
                        0.4115
                    ],
                    [
                        0.5165,
                        0.2758
                    ],
                    [
                        0.6522,
                        0.3226
                    ]
                ],
                "special_info": "square",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "shared edge"
            ],
            [
                1,
                3,
                "inscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "sector",
                "center": [
                    0.6999,
                    0.3435
                ],
                "radius": 0.233,
                "start_angle": 5.9458,
                "end_angle": 1.1196,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.2728,
                    0.361
                ],
                "major_axis": 0.531,
                "minor_axis": 0.2155,
                "rotation": 1.184,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.9198,
                        0.2664
                    ],
                    [
                        0.6999,
                        0.3435
                    ],
                    [
                        0.7712,
                        0.1238
                    ],
                    [
                        0.9307,
                        0.1625
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "shared edge"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "sector",
                "center": [
                    0.7613,
                    0.3037
                ],
                "radius": 0.2241,
                "start_angle": 2.9599,
                "end_angle": 4.151,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.6818,
                        0.6316
                    ],
                    [
                        0.5408,
                        0.3442
                    ],
                    [
                        0.7613,
                        0.3037
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "shared edge"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.8743,
                        0.3597
                    ],
                    [
                        0.5555,
                        0.8743
                    ],
                    [
                        0.0409,
                        0.5555
                    ],
                    [
                        0.3597,
                        0.0409
                    ]
                ],
                "special_info": "square",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.7536,
                        0.456
                    ],
                    [
                        0.6039,
                        0.6628
                    ],
                    [
                        0.5139,
                        0.6032
                    ],
                    [
                        0.4835,
                        0.3925
                    ],
                    [
                        0.6357,
                        0.292
                    ],
                    [
                        0.7516,
                        0.3236
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4576,
                    0.4576
                ],
                "major_axis": 0.856,
                "minor_axis": 0.856,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle of square"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.7039,
                    0.548
                ],
                "major_axis": 0.4228,
                "minor_axis": 0.1748,
                "rotation": 1.5105,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4513,
                    0.4743
                ],
                "major_axis": 0.1487,
                "minor_axis": 0.1487,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.7919,
                        0.5847
                    ],
                    [
                        0.6209,
                        0.595
                    ],
                    [
                        0.6159,
                        0.512
                    ],
                    [
                        0.7869,
                        0.5017
                    ]
                ],
                "special_info": "rectangle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.4828,
                        0.5416
                    ],
                    [
                        0.4195,
                        0.5415
                    ],
                    [
                        0.4195,
                        0.4071
                    ],
                    [
                        0.4828,
                        0.407
                    ]
                ],
                "special_info": "rectangle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "circumscribed"
            ],
            [
                1,
                3,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.4017,
                        0.4844
                    ],
                    [
                        0.5452,
                        0.4981
                    ],
                    [
                        0.5764,
                        0.6388
                    ],
                    [
                        0.4522,
                        0.712
                    ],
                    [
                        0.3443,
                        0.6166
                    ]
                ],
                "special_info": "regular pentagon",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.7747,
                    0.7423
                ],
                "major_axis": 0.338,
                "minor_axis": 0.1131,
                "rotation": 0.2034,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4639,
                    0.59
                ],
                "major_axis": 0.2452,
                "minor_axis": 0.2452,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.8922,
                        0.7172
                    ],
                    [
                        0.7353,
                        0.6687
                    ]
                ]
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle of regular pentagon"
            ],
            [
                1,
                3,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "sector",
                "center": [
                    0.2856,
                    0.5239
                ],
                "radius": 0.1984,
                "start_angle": 1.4675,
                "end_angle": 2.0981,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.6168,
                        0.4201
                    ],
                    [
                        0.6316,
                        0.5649
                    ],
                    [
                        0.2455,
                        0.4272
                    ],
                    [
                        0.2503,
                        0.3311
                    ],
                    [
                        0.3871,
                        0.2066
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.456,
                        0.7214
                    ],
                    [
                        0.3061,
                        0.7212
                    ],
                    [
                        0.2856,
                        0.5239
                    ],
                    [
                        0.4235,
                        0.6218
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "shared edge"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.7851,
                    0.4958
                ],
                "major_axis": 0.1624,
                "minor_axis": 0.1624,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.6962,
                        0.5272
                    ],
                    [
                        0.308,
                        0.5917
                    ],
                    [
                        0.4124,
                        0.4272
                    ]
                ],
                "special_info": "triangle",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.8663,
                        0.8795
                    ],
                    [
                        0.8663,
                        0.2061
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.4393,
                    0.5048
                ],
                "major_axis": 0.1285,
                "minor_axis": 0.1285,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "tangent line"
            ],
            [
                3,
                1,
                "inscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "star",
                "center": [
                    0.3352,
                    0.2316
                ],
                "outer_radius": 0.1977,
                "inner_radius": 0.0892,
                "num_points": 6,
                "rotation": 1.6651,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "sector",
                "center": [
                    0.7107,
                    0.6776
                ],
                "radius": 0.3222,
                "start_angle": 1.6274,
                "end_angle": 2.235,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.3352,
                    0.2316
                ],
                "major_axis": 0.3955,
                "minor_axis": 0.3955,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "sector",
                "center": [
                    0.6925,
                    0.9993
                ],
                "radius": 0.3222,
                "start_angle": 4.769,
                "end_angle": 5.3766,
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle"
            ],
            [
                1,
                3,
                "shared edge"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.5143,
                        0.1124
                    ],
                    [
                        0.9007,
                        0.6644
                    ],
                    [
                        0.4989,
                        0.9458
                    ],
                    [
                        0.1124,
                        0.3938
                    ]
                ],
                "special_info": "rectangle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.7058,
                        0.5972
                    ],
                    [
                        0.665,
                        0.6586
                    ],
                    [
                        0.5125,
                        0.6983
                    ],
                    [
                        0.3578,
                        0.4323
                    ],
                    [
                        0.4193,
                        0.3722
                    ],
                    [
                        0.7,
                        0.4106
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5066,
                    0.5291
                ],
                "major_axis": 0.8335,
                "minor_axis": 0.8335,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle of rectangle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.341,
                        0.7013
                    ],
                    [
                        0.4297,
                        0.6399
                    ],
                    [
                        0.5272,
                        0.686
                    ],
                    [
                        0.536,
                        0.7936
                    ],
                    [
                        0.4473,
                        0.855
                    ],
                    [
                        0.3498,
                        0.8088
                    ]
                ],
                "special_info": "regular hexagon",
                "fill_mode": "border"
            },
            {
                "type": "star",
                "center": [
                    0.5243,
                    0.306
                ],
                "outer_radius": 0.218,
                "inner_radius": 0.1065,
                "num_points": 5,
                "rotation": 2.331,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4385,
                    0.7474
                ],
                "major_axis": 0.2158,
                "minor_axis": 0.2158,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5243,
                    0.306
                ],
                "major_axis": 0.436,
                "minor_axis": 0.436,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle of regular hexagon"
            ],
            [
                3,
                1,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "segment",
                "points": [
                    [
                        0.2715,
                        0.9578
                    ],
                    [
                        0.1629,
                        0.515
                    ]
                ]
            },
            {
                "type": "star",
                "center": [
                    0.5944,
                    0.5199
                ],
                "outer_radius": 0.3595,
                "inner_radius": 0.1468,
                "num_points": 6,
                "rotation": 1.7397,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5944,
                    0.5199
                ],
                "major_axis": 0.7189,
                "minor_axis": 0.7189,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                1,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.4311,
                    0.2985
                ],
                "major_axis": 0.4399,
                "minor_axis": 0.1821,
                "rotation": 2.2485,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.3842,
                        0.8003
                    ],
                    [
                        0.3167,
                        0.5912
                    ]
                ]
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.4987,
                        0.3596
                    ],
                    [
                        0.3764,
                        0.4638
                    ],
                    [
                        0.3884,
                        0.2091
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5193,
                    0.7178
                ],
                "major_axis": 0.3079,
                "minor_axis": 0.3079,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "circumscribed"
            ],
            [
                1,
                3,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "star",
                "center": [
                    0.4478,
                    0.3563
                ],
                "outer_radius": 0.306,
                "inner_radius": 0.1453,
                "num_points": 6,
                "rotation": 2.1504,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.9617,
                        0.6008
                    ],
                    [
                        0.8246,
                        0.0915
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.4478,
                    0.3563
                ],
                "major_axis": 0.612,
                "minor_axis": 0.612,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.7729,
                    0.3564
                ],
                "major_axis": 0.0908,
                "minor_axis": 0.0908,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.8428,
                        0.2914
                    ],
                    [
                        0.5826,
                        0.3587
                    ]
                ]
            }
        ],
        "relations": [
            [
                0,
                1,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.567,
                    0.7128
                ],
                "major_axis": 0.5804,
                "minor_axis": 0.2528,
                "rotation": 2.6552,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.567,
                    0.7128
                ],
                "major_axis": 0.6576,
                "minor_axis": 0.2864,
                "rotation": 2.6552,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.567,
                    0.7128
                ],
                "major_axis": 0.7451,
                "minor_axis": 0.3245,
                "rotation": 2.6552,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.567,
                    0.7128
                ],
                "major_axis": 0.8442,
                "minor_axis": 0.3677,
                "rotation": 2.6552,
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "concentric"
            ],
            [
                1,
                2,
                "concentric"
            ],
            [
                2,
                3,
                "concentric"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "spiral",
                "center": [
                    0.5046,
                    0.4861
                ],
                "initial_radius": 0.0004,
                "growth_rate": 0.009,
                "sin_params": [
                    0.001,
                    0.9875,
                    2.4677
                ],
                "max_theta": 32.9213
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.1269,
                        0.8336
                    ],
                    [
                        0.1412,
                        0.7083
                    ],
                    [
                        0.2647,
                        0.6832
                    ],
                    [
                        0.3268,
                        0.7929
                    ],
                    [
                        0.2417,
                        0.8858
                    ]
                ],
                "special_info": "regular pentagon",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.3244,
                        0.4366
                    ],
                    [
                        0.3327,
                        0.3635
                    ],
                    [
                        0.4048,
                        0.3489
                    ],
                    [
                        0.441,
                        0.4129
                    ],
                    [
                        0.3913,
                        0.4671
                    ]
                ],
                "special_info": "regular pentagon",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                2,
                "similar"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.3212,
                    0.4087
                ],
                "major_axis": 0.2928,
                "minor_axis": 0.2928,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.4064,
                        0.5278
                    ],
                    [
                        0.248,
                        0.5355
                    ],
                    [
                        0.3817,
                        0.2754
                    ],
                    [
                        0.3924,
                        0.2808
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.3378,
                    0.3508
                ],
                "major_axis": 0.2247,
                "minor_axis": 0.0969,
                "rotation": 2.2521,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.5386,
                        0.7435
                    ],
                    [
                        0.2594,
                        0.7013
                    ],
                    [
                        0.2429,
                        0.6463
                    ],
                    [
                        0.6824,
                        0.5025
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.2376,
                        0.3947
                    ],
                    [
                        0.362,
                        0.2465
                    ],
                    [
                        0.4366,
                        0.2714
                    ],
                    [
                        0.3874,
                        0.3705
                    ],
                    [
                        0.288,
                        0.4722
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "inscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.4791,
                        0.7508
                    ],
                    [
                        0.6333,
                        0.7608
                    ],
                    [
                        0.5476,
                        0.8893
                    ]
                ],
                "special_info": "equilateral triangle",
                "fill_mode": "border"
            },
            {
                "type": "sector",
                "center": [
                    0.4299,
                    0.7787
                ],
                "radius": 0.3931,
                "start_angle": 4.2257,
                "end_angle": 5.0506,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5533,
                    0.8003
                ],
                "major_axis": 0.0892,
                "minor_axis": 0.0892,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.4299,
                        0.7787
                    ],
                    [
                        0.0238,
                        0.6168
                    ],
                    [
                        0.2461,
                        0.4312
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "inscribed circle"
            ],
            [
                1,
                3,
                "shared edge"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "sector",
                "center": [
                    0.2482,
                    0.2557
                ],
                "radius": 0.1886,
                "start_angle": 5.9272,
                "end_angle": 0.2864,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.3709,
                        0.5989
                    ],
                    [
                        0.3339,
                        0.4114
                    ],
                    [
                        0.6186,
                        0.3216
                    ]
                ],
                "special_info": "triangle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.425,
                        0.19
                    ],
                    [
                        0.2482,
                        0.2557
                    ],
                    [
                        0.27,
                        0.0589
                    ],
                    [
                        0.3716,
                        0.0296
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4099,
                    0.4565
                ],
                "major_axis": 0.1316,
                "minor_axis": 0.1316,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "shared edge"
            ],
            [
                3,
                1,
                "inscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "sector",
                "center": [
                    0.4053,
                    0.6216
                ],
                "radius": 0.1216,
                "start_angle": 3.549,
                "end_angle": 5.5104,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "sector",
                "center": [
                    0.205,
                    0.6295
                ],
                "radius": 0.1541,
                "start_angle": 0.3835,
                "end_angle": 1.6536,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.745,
                        0.4585
                    ],
                    [
                        0.0367,
                        0.5432
                    ]
                ]
            }
        ],
        "relations": [
            [
                0,
                2,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.5524,
                    0.6585
                ],
                "major_axis": 0.3589,
                "minor_axis": 0.2138,
                "rotation": 1.9764,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "star",
                "center": [
                    0.5667,
                    0.4353
                ],
                "outer_radius": 0.364,
                "inner_radius": 0.209,
                "num_points": 5,
                "rotation": 2.762,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.792,
                    0.7636
                ],
                "major_axis": 0.3093,
                "minor_axis": 0.3093,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "external tangent circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "sector",
                "center": [
                    0.5734,
                    0.2759
                ],
                "radius": 0.3082,
                "start_angle": 1.5756,
                "end_angle": 2.6224,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "sector",
                "center": [
                    0.5719,
                    0.5842
                ],
                "radius": 0.3082,
                "start_angle": 4.7172,
                "end_angle": 5.764,
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "shared edge"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "sector",
                "center": [
                    0.4372,
                    0.4248
                ],
                "radius": 0.1475,
                "start_angle": 0.7002,
                "end_angle": 3.1053,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "sector",
                "center": [
                    0.55,
                    0.5198
                ],
                "radius": 0.1475,
                "start_angle": 3.8418,
                "end_angle": 6.2469,
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "shared edge"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.7643,
                        0.5361
                    ],
                    [
                        0.7393,
                        0.73
                    ],
                    [
                        0.252,
                        0.3184
                    ],
                    [
                        0.3583,
                        0.265
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.2209,
                    0.6101
                ],
                "major_axis": 0.3078,
                "minor_axis": 0.3078,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.3136,
                        0.7329
                    ],
                    [
                        0.0681,
                        0.6289
                    ],
                    [
                        0.2809,
                        0.4683
                    ]
                ],
                "special_info": "equilateral triangle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                2,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.5028,
                        0.8171
                    ],
                    [
                        0.4504,
                        0.6338
                    ],
                    [
                        0.5829,
                        0.4969
                    ],
                    [
                        0.7678,
                        0.5431
                    ],
                    [
                        0.8201,
                        0.7264
                    ],
                    [
                        0.6876,
                        0.8633
                    ]
                ],
                "special_info": "regular hexagon",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.6399,
                        0.361
                    ],
                    [
                        0.5602,
                        0.4357
                    ],
                    [
                        0.4337,
                        0.2447
                    ]
                ],
                "special_info": "triangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6353,
                    0.6801
                ],
                "major_axis": 0.3811,
                "minor_axis": 0.3811,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5679,
                    0.3697
                ],
                "major_axis": 0.0858,
                "minor_axis": 0.0858,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle of regular hexagon"
            ],
            [
                3,
                1,
                "inscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.7259,
                    0.3708
                ],
                "major_axis": 0.373,
                "minor_axis": 0.1319,
                "rotation": 1.8599,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.6204,
                        0.7485
                    ],
                    [
                        0.2628,
                        0.5527
                    ],
                    [
                        0.6112,
                        0.3409
                    ]
                ],
                "special_info": "equilateral triangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4981,
                    0.5474
                ],
                "major_axis": 0.4707,
                "minor_axis": 0.4707,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                1,
                "circumscribed circle of triangle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.3806,
                    0.7407
                ],
                "major_axis": 0.3506,
                "minor_axis": 0.3506,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.595,
                    0.2555
                ],
                "major_axis": 0.4299,
                "minor_axis": 0.2752,
                "rotation": 0.6626,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.3806,
                    0.7407
                ],
                "major_axis": 0.4528,
                "minor_axis": 0.4528,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4503,
                    0.4399
                ],
                "major_axis": 0.1935,
                "minor_axis": 0.1935,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "concentric"
            ],
            [
                1,
                3,
                "external tangent circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.2261,
                        0.7989
                    ],
                    [
                        0.2174,
                        0.24
                    ],
                    [
                        0.4085,
                        0.4508
                    ]
                ],
                "special_info": "triangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5135,
                    0.6908
                ],
                "major_axis": 0.1837,
                "minor_axis": 0.1837,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.3058,
                    0.4639
                ],
                "major_axis": 0.1697,
                "minor_axis": 0.1697,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6717,
                    0.7531
                ],
                "major_axis": 0.1562,
                "minor_axis": 0.1562,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "inscribed circle"
            ],
            [
                1,
                3,
                "external tangent circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.7691,
                    0.4796
                ],
                "major_axis": 0.3172,
                "minor_axis": 0.3172,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "line",
                "points": [
                    [
                        0.2849,
                        1
                    ],
                    [
                        0,
                        0.4944
                    ]
                ]
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.8356,
                        0.6236
                    ],
                    [
                        0.7022,
                        0.6234
                    ],
                    [
                        0.7022,
                        0.3358
                    ],
                    [
                        0.8356,
                        0.3355
                    ]
                ],
                "special_info": "rectangle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.7496,
                    0.4847
                ],
                "major_axis": 0.4306,
                "minor_axis": 0.1359,
                "rotation": 0.5559,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.578,
                        0.0481
                    ],
                    [
                        0.8815,
                        0.3541
                    ],
                    [
                        0.7682,
                        0.7698
                    ],
                    [
                        0.3516,
                        0.8796
                    ],
                    [
                        0.0481,
                        0.5737
                    ],
                    [
                        0.1614,
                        0.158
                    ]
                ],
                "special_info": "regular hexagon",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.8489,
                    0.3301
                ],
                "major_axis": 0.2316,
                "minor_axis": 0.2316,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "external tangent circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.5785,
                    0.323
                ],
                "major_axis": 0.2161,
                "minor_axis": 0.2161,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.6461,
                        0.4976
                    ],
                    [
                        0.2927,
                        0.2628
                    ],
                    [
                        0.7236,
                        0.1882
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "inscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.2028,
                    0.4506
                ],
                "major_axis": 0.5334,
                "minor_axis": 0.1752,
                "rotation": 0.9315,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.3195,
                        0.4682
                    ],
                    [
                        0.186,
                        0.5674
                    ],
                    [
                        0.0865,
                        0.4338
                    ],
                    [
                        0.2202,
                        0.3344
                    ]
                ],
                "special_info": "square",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.6313,
                        0.796
                    ],
                    [
                        0.3385,
                        0.7166
                    ],
                    [
                        0.2832,
                        0.6297
                    ],
                    [
                        0.2998,
                        0.4198
                    ],
                    [
                        0.407,
                        0.3017
                    ],
                    [
                        0.5909,
                        0.49
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6447,
                    0.7173
                ],
                "major_axis": 0.3656,
                "minor_axis": 0.1159,
                "rotation": 1.5045,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6447,
                    0.7173
                ],
                "major_axis": 0.5293,
                "minor_axis": 0.1678,
                "rotation": 1.5045,
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                2,
                "concentric"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.6472,
                        0.4985
                    ],
                    [
                        0.4028,
                        0.6242
                    ],
                    [
                        0.638,
                        0.2148
                    ]
                ],
                "special_info": "triangle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.4126,
                        0.4807
                    ],
                    [
                        0.1515,
                        0.5074
                    ],
                    [
                        0.1152,
                        0.1515
                    ],
                    [
                        0.3763,
                        0.1249
                    ]
                ],
                "special_info": "rectangle",
                "fill_mode": "border"
            }
        ],
        "relations": []
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.8596,
                        0.7387
                    ],
                    [
                        0.5053,
                        0.9583
                    ],
                    [
                        0.1379,
                        0.7612
                    ],
                    [
                        0.1249,
                        0.3445
                    ],
                    [
                        0.4793,
                        0.1249
                    ],
                    [
                        0.8466,
                        0.322
                    ]
                ],
                "special_info": "regular hexagon",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4923,
                    0.5416
                ],
                "major_axis": 0.8337,
                "minor_axis": 0.8337,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "circumscribed circle of regular hexagon"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.6071,
                        0.7263
                    ],
                    [
                        0.5239,
                        0.9526
                    ],
                    [
                        0.2829,
                        0.9434
                    ],
                    [
                        0.2172,
                        0.7114
                    ],
                    [
                        0.4176,
                        0.5773
                    ]
                ],
                "special_info": "regular pentagon",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.3958,
                        0.4691
                    ],
                    [
                        0.3444,
                        0.6087
                    ],
                    [
                        0.1957,
                        0.6031
                    ],
                    [
                        0.1552,
                        0.4599
                    ],
                    [
                        0.2788,
                        0.3771
                    ]
                ],
                "special_info": "regular pentagon",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "similar"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.6783,
                        0.6173
                    ],
                    [
                        0.4834,
                        0.7667
                    ],
                    [
                        0.5884,
                        0.2134
                    ],
                    [
                        0.6886,
                        0.3452
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.2232,
                    0.3729
                ],
                "major_axis": 0.1301,
                "minor_axis": 0.1301,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.2691,
                        0.4189
                    ],
                    [
                        0.1771,
                        0.4188
                    ],
                    [
                        0.1771,
                        0.327
                    ],
                    [
                        0.2691,
                        0.3269
                    ]
                ],
                "special_info": "square",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                2,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.2854,
                    0.791
                ],
                "major_axis": 0.3999,
                "minor_axis": 0.1173,
                "rotation": 2.0153,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.7185,
                        0.4612
                    ],
                    [
                        0.1797,
                        0.5103
                    ],
                    [
                        0.1666,
                        0.3665
                    ],
                    [
                        0.7054,
                        0.3173
                    ]
                ],
                "special_info": "rectangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4425,
                    0.4138
                ],
                "major_axis": 0.56,
                "minor_axis": 0.56,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                1,
                "circumscribed circle of rectangle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.7625,
                    0.3854
                ],
                "major_axis": 0.1354,
                "minor_axis": 0.1354,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "star",
                "center": [
                    0.613,
                    0.5298
                ],
                "outer_radius": 0.1714,
                "inner_radius": 0.0712,
                "num_points": 6,
                "rotation": 5.388,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.613,
                    0.5298
                ],
                "major_axis": 0.3429,
                "minor_axis": 0.3429,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                1,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.6532,
                        0.7609
                    ],
                    [
                        0.7134,
                        0.7225
                    ],
                    [
                        0.8251,
                        0.8978
                    ],
                    [
                        0.7648,
                        0.9362
                    ]
                ],
                "special_info": "rectangle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.2652,
                        0.1947
                    ],
                    [
                        0.2976,
                        0.174
                    ],
                    [
                        0.3579,
                        0.2685
                    ],
                    [
                        0.3254,
                        0.2892
                    ]
                ],
                "special_info": "rectangle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "similar"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.4965,
                    0.4122
                ],
                "major_axis": 0.4242,
                "minor_axis": 0.1178,
                "rotation": 0.3722,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4929,
                    0.7701
                ],
                "major_axis": 0.2843,
                "minor_axis": 0.2843,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.5135,
                        0.4809
                    ],
                    [
                        0.4441,
                        0.4542
                    ],
                    [
                        0.5276,
                        0.3612
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.748,
                    0.7358
                ],
                "major_axis": 0.2305,
                "minor_axis": 0.2305,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "circumscribed"
            ],
            [
                1,
                3,
                "external tangent circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.5001,
                        0.7391
                    ],
                    [
                        0.4337,
                        0.8707
                    ],
                    [
                        0.3529,
                        0.7474
                    ]
                ],
                "special_info": "equilateral triangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4289,
                    0.7857
                ],
                "major_axis": 0.0851,
                "minor_axis": 0.0851,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "inscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "line",
                "points": [
                    [
                        0,
                        0.763
                    ],
                    [
                        0.4018,
                        1
                    ]
                ]
            },
            {
                "type": "ray",
                "points": [
                    [
                        0.3717,
                        0.1036
                    ],
                    [
                        0.6206,
                        0
                    ]
                ]
            }
        ],
        "relations": []
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.7652,
                        0.5366
                    ],
                    [
                        0.3621,
                        0.7592
                    ],
                    [
                        0.3709,
                        0.2988
                    ]
                ],
                "special_info": "equilateral triangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4994,
                    0.5316
                ],
                "major_axis": 0.2659,
                "minor_axis": 0.2659,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "inscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.2739,
                    0.3724
                ],
                "major_axis": 0.5362,
                "minor_axis": 0.3457,
                "rotation": 0.435,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "sector",
                "center": [
                    0.7219,
                    0.4096
                ],
                "radius": 0.1164,
                "start_angle": 4.424,
                "end_angle": 0.285,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.2257,
                    0.4754
                ],
                "major_axis": 0.1184,
                "minor_axis": 0.1184,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "sector",
                "center": [
                    0.6887,
                    0.298
                ],
                "radius": 0.1164,
                "start_angle": 1.2824,
                "end_angle": 3.4266,
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "internal tangent circle"
            ],
            [
                1,
                3,
                "shared edge"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "spiral",
                "center": [
                    0.4269,
                    0.4119
                ],
                "initial_radius": 0.0005,
                "growth_rate": 0.0091,
                "sin_params": [
                    0.0011,
                    0.8565,
                    2.656
                ],
                "max_theta": 34.8439
            },
            {
                "type": "ellipse",
                "center": [
                    0.5965,
                    0.212
                ],
                "major_axis": 0.3753,
                "minor_axis": 0.3753,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.4509,
                        0.3303
                    ],
                    [
                        0.4302,
                        0.1251
                    ],
                    [
                        0.6709,
                        0.0396
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                2,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "spiral",
                "center": [
                    0.691,
                    0.7296
                ],
                "initial_radius": 0.0004,
                "growth_rate": 0.0108,
                "sin_params": [
                    0.0009,
                    1.164,
                    0.659
                ],
                "max_theta": 18.3637
            },
            {
                "type": "star",
                "center": [
                    0.3241,
                    0.4975
                ],
                "outer_radius": 0.2242,
                "inner_radius": 0.113,
                "num_points": 5,
                "rotation": 1.9654,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.3241,
                    0.4975
                ],
                "major_axis": 0.4485,
                "minor_axis": 0.4485,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                1,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.4862,
                    0.4152
                ],
                "major_axis": 0.1884,
                "minor_axis": 0.1884,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4862,
                    0.4152
                ],
                "major_axis": 0.2191,
                "minor_axis": 0.2191,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4862,
                    0.4152
                ],
                "major_axis": 0.2549,
                "minor_axis": 0.2549,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "concentric"
            ],
            [
                1,
                2,
                "concentric"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "star",
                "center": [
                    0.4478,
                    0.5096
                ],
                "outer_radius": 0.3536,
                "inner_radius": 0.2244,
                "num_points": 5,
                "rotation": 0.5,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ray",
                "points": [
                    [
                        0.9745,
                        0.2256
                    ],
                    [
                        1,
                        0.7306
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.4478,
                    0.5096
                ],
                "major_axis": 0.7071,
                "minor_axis": 0.7071,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "sector",
                "center": [
                    0.6101,
                    0.5994
                ],
                "radius": 0.4708,
                "start_angle": 2.5882,
                "end_angle": 3.1938,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.7599,
                    0.4244
                ],
                "major_axis": 0.3351,
                "minor_axis": 0.3351,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "sector",
                "center": [
                    0.2096,
                    0.8468
                ],
                "radius": 0.4708,
                "start_angle": 5.7298,
                "end_angle": 0.0522,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.8736,
                        0.6903
                    ],
                    [
                        0.5608,
                        0.499
                    ],
                    [
                        0.6618,
                        0.178
                    ],
                    [
                        0.9501,
                        0.3384
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "shared edge"
            ],
            [
                1,
                3,
                "inscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.3636,
                    0.2802
                ],
                "major_axis": 0.4049,
                "minor_axis": 0.4049,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.6536,
                        0.6794
                    ],
                    [
                        0.3257,
                        0.5619
                    ],
                    [
                        0.7886,
                        0.491
                    ]
                ],
                "special_info": "triangle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.5457,
                        0.3688
                    ],
                    [
                        0.3241,
                        0.4787
                    ],
                    [
                        0.2026,
                        0.1575
                    ],
                    [
                        0.5195,
                        0.1511
                    ],
                    [
                        0.5584,
                        0.2249
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.4927,
                    0.5624
                ],
                "major_axis": 0.076,
                "minor_axis": 0.076,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "sector",
                "center": [
                    0.3628,
                    0.5212
                ],
                "radius": 0.1226,
                "start_angle": 2.5228,
                "end_angle": 4.4913,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.5041,
                        0.6066
                    ],
                    [
                        0.4367,
                        0.5831
                    ],
                    [
                        0.4725,
                        0.5214
                    ],
                    [
                        0.5689,
                        0.5341
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "sector",
                "center": [
                    0.2629,
                    0.5923
                ],
                "radius": 0.1226,
                "start_angle": 5.6644,
                "end_angle": 1.3497,
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "inscribed"
            ],
            [
                1,
                3,
                "shared edge"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "star",
                "center": [
                    0.6871,
                    0.3025
                ],
                "outer_radius": 0.237,
                "inner_radius": 0.1445,
                "num_points": 5,
                "rotation": 0.6852,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6871,
                    0.3025
                ],
                "major_axis": 0.474,
                "minor_axis": 0.474,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.637,
                        0.5975
                    ],
                    [
                        0.7305,
                        0.42
                    ],
                    [
                        0.7786,
                        0.4454
                    ],
                    [
                        0.6851,
                        0.6228
                    ]
                ],
                "special_info": "rectangle",
                "fill_mode": "border"
            },
            {
                "type": "star",
                "center": [
                    0.3246,
                    0.7241
                ],
                "outer_radius": 0.2001,
                "inner_radius": 0.1078,
                "num_points": 6,
                "rotation": 2.1636,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.7078,
                    0.5214
                ],
                "major_axis": 0.2078,
                "minor_axis": 0.2078,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.3246,
                    0.7241
                ],
                "major_axis": 0.4002,
                "minor_axis": 0.4002,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle of rectangle"
            ],
            [
                3,
                1,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "spiral",
                "center": [
                    0.5983,
                    0.2619
                ],
                "initial_radius": 0.0005,
                "growth_rate": 0.0123,
                "sin_params": [
                    0.0008,
                    0.8039,
                    1.8737
                ],
                "max_theta": 20.2222
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.0616,
                        0.5769
                    ],
                    [
                        0.8251,
                        0.541
                    ]
                ]
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.3622,
                        0.4505
                    ],
                    [
                        0.1833,
                        0.4589
                    ]
                ]
            }
        ],
        "relations": [
            [
                1,
                2,
                "parallel"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.4158,
                        0.6641
                    ],
                    [
                        0.5499,
                        0.4203
                    ],
                    [
                        0.7597,
                        0.4607
                    ]
                ],
                "special_info": "triangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5833,
                    0.4914
                ],
                "major_axis": 0.1269,
                "minor_axis": 0.1269,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "inscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "sector",
                "center": [
                    0.3278,
                    0.3763
                ],
                "radius": 0.1972,
                "start_angle": 2.7741,
                "end_angle": 4.3585,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "sector",
                "center": [
                    0.5612,
                    0.3492
                ],
                "radius": 0.2617,
                "start_angle": 1.6174,
                "end_angle": 2.8403,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.6621,
                        0.5381
                    ],
                    [
                        0.549,
                        0.6106
                    ],
                    [
                        0.5612,
                        0.3492
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                2,
                "shared edge"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.398,
                    0.2542
                ],
                "major_axis": 0.5026,
                "minor_axis": 0.1761,
                "rotation": 3.0254,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.6028,
                        0.8345
                    ],
                    [
                        0.3359,
                        0.868
                    ],
                    [
                        0.2215,
                        0.6245
                    ],
                    [
                        0.4177,
                        0.4405
                    ],
                    [
                        0.6533,
                        0.5702
                    ]
                ],
                "special_info": "regular pentagon",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4462,
                    0.6675
                ],
                "major_axis": 0.4577,
                "minor_axis": 0.4577,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                1,
                "circumscribed circle of regular pentagon"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "sector",
                "center": [
                    0.2711,
                    0.3265
                ],
                "radius": 0.1603,
                "start_angle": 2.8006,
                "end_angle": 4.5217,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.905,
                        0.8338
                    ],
                    [
                        0.1922,
                        0.7638
                    ]
                ]
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.2109,
                        0.5721
                    ],
                    [
                        0.12,
                        0.3801
                    ],
                    [
                        0.2711,
                        0.3265
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4773,
                    0.5382
                ],
                "major_axis": 0.5049,
                "minor_axis": 0.5049,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "shared edge"
            ],
            [
                1,
                3,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.5381,
                    0.2604
                ],
                "major_axis": 0.1894,
                "minor_axis": 0.1894,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.3542,
                    0.3685
                ],
                "major_axis": 0.1347,
                "minor_axis": 0.1347,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5696,
                    0.3802
                ],
                "major_axis": 0.0584,
                "minor_axis": 0.0584,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.2784,
                        0.5781
                    ],
                    [
                        0.4913,
                        0.3004
                    ]
                ]
            }
        ],
        "relations": [
            [
                0,
                2,
                "external tangent circle"
            ],
            [
                1,
                3,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.4615,
                        0.754
                    ],
                    [
                        0.4673,
                        0.5331
                    ],
                    [
                        0.6615,
                        0.4276
                    ],
                    [
                        0.85,
                        0.5432
                    ],
                    [
                        0.8442,
                        0.7641
                    ],
                    [
                        0.6499,
                        0.8695
                    ]
                ],
                "special_info": "regular hexagon",
                "fill_mode": "border"
            },
            {
                "type": "sector",
                "center": [
                    0.3349,
                    0.6899
                ],
                "radius": 0.3034,
                "start_angle": 4.5484,
                "end_angle": 5.3406,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6557,
                    0.6486
                ],
                "major_axis": 0.4421,
                "minor_axis": 0.4421,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.3349,
                        0.6899
                    ],
                    [
                        0.1348,
                        0.6421
                    ],
                    [
                        0.2854,
                        0.3906
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle of regular hexagon"
            ],
            [
                1,
                3,
                "shared edge"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.5798,
                    0.4876
                ],
                "major_axis": 0.286,
                "minor_axis": 0.286,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "line",
                "points": [
                    [
                        0.3546,
                        1
                    ],
                    [
                        0,
                        0.7673
                    ]
                ]
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.6608,
                        0.6875
                    ],
                    [
                        0.4273,
                        0.5715
                    ],
                    [
                        0.4572,
                        0.2842
                    ],
                    [
                        0.7602,
                        0.406
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "inscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "star",
                "center": [
                    0.7475,
                    0.2569
                ],
                "outer_radius": 0.1918,
                "inner_radius": 0.1088,
                "num_points": 5,
                "rotation": 3.3707,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.4887,
                        0.6357
                    ],
                    [
                        0.4241,
                        0.2048
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.7475,
                    0.2569
                ],
                "major_axis": 0.3837,
                "minor_axis": 0.3837,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.4038,
                        0.9539
                    ],
                    [
                        0.3676,
                        0.7122
                    ]
                ]
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle"
            ],
            [
                1,
                3,
                "parallel"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.7202,
                        0.6428
                    ],
                    [
                        0.5152,
                        0.6964
                    ],
                    [
                        0.3583,
                        0.6593
                    ],
                    [
                        0.2078,
                        0.2576
                    ],
                    [
                        0.5832,
                        0.288
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.8635,
                        0.6566
                    ],
                    [
                        0.53,
                        0.7439
                    ],
                    [
                        0.2749,
                        0.6835
                    ],
                    [
                        0.0301,
                        0.0301
                    ],
                    [
                        0.6407,
                        0.0796
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "similar"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "sector",
                "center": [
                    0.6657,
                    0.2466
                ],
                "radius": 0.4415,
                "start_angle": 2.4998,
                "end_angle": 3.6772,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4322,
                    0.5156
                ],
                "major_axis": 0.1749,
                "minor_axis": 0.1749,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "sector",
                "center": [
                    0.312,
                    0.5109
                ],
                "radius": 0.4415,
                "start_angle": 5.6414,
                "end_angle": 0.5356,
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "shared edge"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "spiral",
                "center": [
                    0.7563,
                    0.5567
                ],
                "initial_radius": 0.0006,
                "growth_rate": 0.0082,
                "sin_params": [
                    0.0012,
                    0.8873,
                    2.6958
                ],
                "max_theta": 22.158
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.5732,
                        0.4765
                    ],
                    [
                        0.1785,
                        0.7002
                    ],
                    [
                        0.1821,
                        0.2465
                    ]
                ],
                "special_info": "equilateral triangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.3112,
                    0.4744
                ],
                "major_axis": 0.262,
                "minor_axis": 0.262,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                1,
                "inscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "star",
                "center": [
                    0.5781,
                    0.4062
                ],
                "outer_radius": 0.3027,
                "inner_radius": 0.1342,
                "num_points": 5,
                "rotation": 5.555,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5781,
                    0.4062
                ],
                "major_axis": 0.6055,
                "minor_axis": 0.6055,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.4977,
                        0.5899
                    ],
                    [
                        0.2258,
                        0.2808
                    ],
                    [
                        0.6197,
                        0.3719
                    ]
                ],
                "special_info": "triangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4811,
                    0.4333
                ],
                "major_axis": 0.182,
                "minor_axis": 0.182,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "inscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.5872,
                    0.6219
                ],
                "major_axis": 0.4598,
                "minor_axis": 0.1286,
                "rotation": 2.5372,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.6465,
                        0.6855
                    ],
                    [
                        0.8326,
                        0.4654
                    ]
                ]
            }
        ],
        "relations": [
            [
                0,
                1,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "sector",
                "center": [
                    0.7153,
                    0.5578
                ],
                "radius": 0.2158,
                "start_angle": 5.5574,
                "end_angle": 6.0527,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.8767,
                        0.4146
                    ],
                    [
                        0.7153,
                        0.5578
                    ],
                    [
                        0.6593,
                        0.3112
                    ],
                    [
                        0.7302,
                        0.2733
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "shared edge"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "star",
                "center": [
                    0.7661,
                    0.644
                ],
                "outer_radius": 0.159,
                "inner_radius": 0.0785,
                "num_points": 6,
                "rotation": 4.9256,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "spiral",
                "center": [
                    0.2206,
                    0.5729
                ],
                "initial_radius": 0.0005,
                "growth_rate": 0.004,
                "sin_params": [
                    0.0012,
                    0.8035,
                    1.7595
                ],
                "max_theta": 32.0887
            },
            {
                "type": "ellipse",
                "center": [
                    0.7661,
                    0.644
                ],
                "major_axis": 0.318,
                "minor_axis": 0.318,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "spiral",
                "center": [
                    0.7219,
                    0.6954
                ],
                "initial_radius": 0.0004,
                "growth_rate": 0.0088,
                "sin_params": [
                    0.001,
                    0.8821,
                    3.0844
                ],
                "max_theta": 19.5915
            },
            {
                "type": "star",
                "center": [
                    0.5535,
                    0.5926
                ],
                "outer_radius": 0.3952,
                "inner_radius": 0.1647,
                "num_points": 6,
                "rotation": 0.661,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5535,
                    0.5926
                ],
                "major_axis": 0.7903,
                "minor_axis": 0.7903,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                1,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.7944,
                    0.5171
                ],
                "major_axis": 0.2567,
                "minor_axis": 0.2567,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.9169,
                        0.5553
                    ],
                    [
                        0.7522,
                        0.6383
                    ],
                    [
                        0.704,
                        0.6082
                    ],
                    [
                        0.669,
                        0.5447
                    ],
                    [
                        0.7233,
                        0.4102
                    ],
                    [
                        0.9206,
                        0.5404
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.5736,
                    0.613
                ],
                "major_axis": 0.1286,
                "minor_axis": 0.1286,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ray",
                "points": [
                    [
                        0.3143,
                        0.8197
                    ],
                    [
                        0,
                        0.1341
                    ]
                ]
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.5983,
                        0.6723
                    ],
                    [
                        0.5487,
                        0.6723
                    ],
                    [
                        0.5487,
                        0.5537
                    ],
                    [
                        0.5983,
                        0.5536
                    ]
                ],
                "special_info": "rectangle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.632,
                        0.796
                    ],
                    [
                        0.2079,
                        0.5859
                    ],
                    [
                        0.6893,
                        0.5279
                    ]
                ],
                "special_info": "triangle",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.8625,
                        0.5286
                    ],
                    [
                        0.8215,
                        0.7328
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.456,
                    0.6182
                ],
                "major_axis": 0.5004,
                "minor_axis": 0.5004,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle of triangle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.2058,
                    0.3568
                ],
                "major_axis": 0.4027,
                "minor_axis": 0.1164,
                "rotation": 0.611,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.1931,
                        0.4184
                    ],
                    [
                        0.1527,
                        0.3902
                    ],
                    [
                        0.219,
                        0.2955
                    ],
                    [
                        0.2594,
                        0.3238
                    ]
                ],
                "special_info": "rectangle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.5102,
                    0.2074
                ],
                "major_axis": 0.1425,
                "minor_axis": 0.1425,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5102,
                    0.2074
                ],
                "major_axis": 0.1763,
                "minor_axis": 0.1763,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5102,
                    0.2074
                ],
                "major_axis": 0.2182,
                "minor_axis": 0.2182,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5102,
                    0.2074
                ],
                "major_axis": 0.2701,
                "minor_axis": 0.2701,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "concentric"
            ],
            [
                1,
                2,
                "concentric"
            ],
            [
                2,
                3,
                "concentric"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.4182,
                        0.4343
                    ],
                    [
                        0.3358,
                        0.5677
                    ],
                    [
                        0.2485,
                        0.4767
                    ],
                    [
                        0.2268,
                        0.2624
                    ],
                    [
                        0.237,
                        0.2441
                    ],
                    [
                        0.3543,
                        0.218
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "star",
                "center": [
                    0.7663,
                    0.4412
                ],
                "outer_radius": 0.2311,
                "inner_radius": 0.1258,
                "num_points": 6,
                "rotation": 1.3961,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.4628,
                        0.5223
                    ],
                    [
                        0.2664,
                        0.8402
                    ],
                    [
                        0.0584,
                        0.6233
                    ],
                    [
                        0.0068,
                        0.1127
                    ],
                    [
                        0.0312,
                        0.069
                    ],
                    [
                        0.3107,
                        0.0068
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.7663,
                    0.4412
                ],
                "major_axis": 0.4622,
                "minor_axis": 0.4622,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "similar"
            ],
            [
                3,
                1,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.6281,
                        0.3573
                    ],
                    [
                        0.8172,
                        0.1228
                    ],
                    [
                        0.9413,
                        0.2229
                    ],
                    [
                        0.7522,
                        0.4574
                    ]
                ],
                "special_info": "rectangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.7847,
                    0.2901
                ],
                "major_axis": 0.3408,
                "minor_axis": 0.3408,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "circumscribed circle of rectangle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "star",
                "center": [
                    0.207,
                    0.3717
                ],
                "outer_radius": 0.1875,
                "inner_radius": 0.1301,
                "num_points": 6,
                "rotation": 0.8636,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.207,
                    0.3717
                ],
                "major_axis": 0.375,
                "minor_axis": 0.375,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "line",
                "points": [
                    [
                        1,
                        0.493
                    ],
                    [
                        0.8596,
                        1
                    ]
                ]
            },
            {
                "type": "spiral",
                "center": [
                    0.2754,
                    0.5766
                ],
                "initial_radius": 0.0005,
                "growth_rate": 0.0089,
                "sin_params": [
                    0.0006,
                    1.0715,
                    1.2508
                ],
                "max_theta": 21.962
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.737,
                        0.785
                    ],
                    [
                        0.8141,
                        0.5066
                    ]
                ]
            }
        ],
        "relations": [
            [
                0,
                2,
                "parallel"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.7042,
                        0.4424
                    ],
                    [
                        0.6022,
                        0.6182
                    ],
                    [
                        0.2516,
                        0.325
                    ],
                    [
                        0.3245,
                        0.224
                    ],
                    [
                        0.6669,
                        0.2487
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.9496,
                        0.5183
                    ],
                    [
                        0.7618,
                        0.8421
                    ],
                    [
                        0.1163,
                        0.3022
                    ],
                    [
                        0.2505,
                        0.1163
                    ],
                    [
                        0.881,
                        0.1617
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "similar"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "sector",
                "center": [
                    0.3377,
                    0.2761
                ],
                "radius": 0.3815,
                "start_angle": 0.7015,
                "end_angle": 1.6767,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6671,
                    0.7019
                ],
                "major_axis": 0.0859,
                "minor_axis": 0.0859,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "sector",
                "center": [
                    0.6291,
                    0.5223
                ],
                "radius": 0.3815,
                "start_angle": 3.8431,
                "end_angle": 4.8183,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.7577,
                        0.6009
                    ],
                    [
                        0.5075,
                        0.7433
                    ]
                ]
            }
        ],
        "relations": [
            [
                0,
                2,
                "shared edge"
            ],
            [
                1,
                3,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.7867,
                        0.4356
                    ],
                    [
                        0.8287,
                        0.6838
                    ],
                    [
                        0.5928,
                        0.5961
                    ]
                ],
                "special_info": "equilateral triangle",
                "fill_mode": "border"
            },
            {
                "type": "sector",
                "center": [
                    0.4005,
                    0.4242
                ],
                "radius": 0.5666,
                "start_angle": 1.1321,
                "end_angle": 1.7508,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.7361,
                    0.5718
                ],
                "major_axis": 0.1453,
                "minor_axis": 0.1453,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "inscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "sector",
                "center": [
                    0.3946,
                    0.6587
                ],
                "radius": 0.3023,
                "start_angle": 2.4034,
                "end_angle": 3.0667,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6517,
                    0.5596
                ],
                "major_axis": 0.4026,
                "minor_axis": 0.4026,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "sector",
                "center": [
                    0.171,
                    0.8621
                ],
                "radius": 0.3023,
                "start_angle": 5.545,
                "end_angle": 6.2083,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.6754,
                        0.7595
                    ],
                    [
                        0.4668,
                        0.4802
                    ],
                    [
                        0.813,
                        0.4392
                    ]
                ],
                "special_info": "equilateral triangle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "shared edge"
            ],
            [
                1,
                3,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "segment",
                "points": [
                    [
                        0.637,
                        0.8946
                    ],
                    [
                        0.4979,
                        0.6371
                    ]
                ]
            },
            {
                "type": "ray",
                "points": [
                    [
                        0.7237,
                        0.2083
                    ],
                    [
                        0,
                        0.4274
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.5675,
                    0.7658
                ],
                "major_axis": 0.4946,
                "minor_axis": 0.2926,
                "rotation": 5.7878,
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "minor axis"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.5773,
                    0.7147
                ],
                "major_axis": 0.1649,
                "minor_axis": 0.1649,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.5881,
                        0.5761
                    ],
                    [
                        0.2787,
                        0.4731
                    ],
                    [
                        0.4098,
                        0.2532
                    ]
                ],
                "special_info": "triangle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.6543,
                        0.814
                    ],
                    [
                        0.5219,
                        0.7877
                    ],
                    [
                        0.4731,
                        0.6913
                    ],
                    [
                        0.5809,
                        0.6074
                    ],
                    [
                        0.6619,
                        0.6796
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4635,
                    0.4342
                ],
                "major_axis": 0.3776,
                "minor_axis": 0.3776,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "inscribed"
            ],
            [
                3,
                1,
                "circumscribed circle of triangle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "sector",
                "center": [
                    0.5407,
                    0.2072
                ],
                "radius": 0.4167,
                "start_angle": 0.3486,
                "end_angle": 1.717,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4892,
                    0.6663
                ],
                "major_axis": 0.2503,
                "minor_axis": 0.2503,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": []
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.5126,
                    0.4053
                ],
                "major_axis": 0.1396,
                "minor_axis": 0.1396,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.401,
                    0.5228
                ],
                "major_axis": 0.1844,
                "minor_axis": 0.1844,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "external tangent circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.525,
                        0.724
                    ],
                    [
                        0.6888,
                        0.5788
                    ],
                    [
                        0.8776,
                        0.6897
                    ],
                    [
                        0.8304,
                        0.9036
                    ],
                    [
                        0.6125,
                        0.9248
                    ]
                ],
                "special_info": "regular pentagon",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.7069,
                    0.7642
                ],
                "major_axis": 0.3726,
                "minor_axis": 0.3726,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "circumscribed circle of regular pentagon"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.4697,
                    0.3687
                ],
                "major_axis": 0.4514,
                "minor_axis": 0.2273,
                "rotation": 1.6634,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.5712,
                        0.4587
                    ],
                    [
                        0.6043,
                        0.2519
                    ]
                ]
            }
        ],
        "relations": [
            [
                0,
                1,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.7799,
                        0.7584
                    ],
                    [
                        0.7345,
                        0.5779
                    ],
                    [
                        0.9135,
                        0.6289
                    ]
                ],
                "special_info": "equilateral triangle",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.8203,
                        0.4861
                    ],
                    [
                        0.7394,
                        0.2607
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.8093,
                    0.6551
                ],
                "major_axis": 0.2149,
                "minor_axis": 0.2149,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.7799,
                    0.3734
                ],
                "major_axis": 0.2394,
                "minor_axis": 0.2394,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle of triangle"
            ],
            [
                1,
                3,
                "diameter"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "line",
                "points": [
                    [
                        0,
                        0.6274
                    ],
                    [
                        0.1021,
                        0
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.6149,
                    0.3298
                ],
                "major_axis": 0.3939,
                "minor_axis": 0.1418,
                "rotation": 0.0318,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.2496,
                    0.3343
                ],
                "major_axis": 0.3985,
                "minor_axis": 0.3985,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6064,
                    0.5643
                ],
                "major_axis": 0.3276,
                "minor_axis": 0.3276,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "tangent line"
            ],
            [
                1,
                3,
                "external tangent circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "spiral",
                "center": [
                    0.6844,
                    0.394
                ],
                "initial_radius": 0.0005,
                "growth_rate": 0.0105,
                "sin_params": [
                    0.0013,
                    1.3688,
                    0.8809
                ],
                "max_theta": 29.872
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.608,
                        0.6382
                    ],
                    [
                        0.448,
                        0.4479
                    ],
                    [
                        0.6915,
                        0.4838
                    ]
                ],
                "special_info": "triangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5971,
                    0.5311
                ],
                "major_axis": 0.1211,
                "minor_axis": 0.1211,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                1,
                "inscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.6721,
                    0.5154
                ],
                "major_axis": 0.4827,
                "minor_axis": 0.1423,
                "rotation": 0.4105,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.2456,
                        0.7711
                    ],
                    [
                        0.2108,
                        0.4806
                    ],
                    [
                        0.3398,
                        0.5856
                    ]
                ],
                "special_info": "triangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.1968,
                    0.6296
                ],
                "major_axis": 0.2993,
                "minor_axis": 0.2993,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                1,
                "circumscribed circle of triangle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.3815,
                        0.6556
                    ],
                    [
                        0.4461,
                        0.2461
                    ],
                    [
                        0.7601,
                        0.371
                    ]
                ],
                "special_info": "triangle",
                "fill_mode": "border"
            },
            {
                "type": "line",
                "points": [
                    [
                        1,
                        0.515
                    ],
                    [
                        0.8836,
                        0
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.5387,
                    0.4706
                ],
                "major_axis": 0.4856,
                "minor_axis": 0.4856,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.869,
                    0.1859
                ],
                "major_axis": 0.1104,
                "minor_axis": 0.1104,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle of triangle"
            ],
            [
                1,
                3,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.402,
                    0.4229
                ],
                "major_axis": 0.1792,
                "minor_axis": 0.1792,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.402,
                    0.4229
                ],
                "major_axis": 0.2579,
                "minor_axis": 0.2579,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.402,
                    0.4229
                ],
                "major_axis": 0.3711,
                "minor_axis": 0.3711,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.402,
                    0.4229
                ],
                "major_axis": 0.534,
                "minor_axis": 0.534,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "concentric"
            ],
            [
                1,
                2,
                "concentric"
            ],
            [
                2,
                3,
                "concentric"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ray",
                "points": [
                    [
                        0.4927,
                        0.0965
                    ],
                    [
                        0.7076,
                        0
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.4487,
                    0.376
                ],
                "major_axis": 0.1819,
                "minor_axis": 0.1819,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.4066,
                        0.5441
                    ],
                    [
                        0.1572,
                        0.6561
                    ]
                ]
            }
        ],
        "relations": [
            [
                0,
                2,
                "parallel"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.2986,
                    0.2762
                ],
                "major_axis": 0.4927,
                "minor_axis": 0.2296,
                "rotation": 1.7622,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.3808,
                        0.3987
                    ],
                    [
                        0.1767,
                        0.3592
                    ],
                    [
                        0.2162,
                        0.1544
                    ],
                    [
                        0.4206,
                        0.194
                    ]
                ],
                "special_info": "square",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.6643,
                    0.667
                ],
                "major_axis": 0.1733,
                "minor_axis": 0.1733,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ray",
                "points": [
                    [
                        0.0627,
                        0.3524
                    ],
                    [
                        0.4814,
                        0
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.34,
                    0.6212
                ],
                "major_axis": 0.4819,
                "minor_axis": 0.4819,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.1054,
                    0.2091
                ],
                "major_axis": 0.1642,
                "minor_axis": 0.1642,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "external tangent circle"
            ],
            [
                1,
                3,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.582,
                        0.6042
                    ],
                    [
                        0.6117,
                        0.8029
                    ],
                    [
                        0.432,
                        0.8926
                    ],
                    [
                        0.2911,
                        0.7494
                    ],
                    [
                        0.3838,
                        0.5712
                    ]
                ],
                "special_info": "regular pentagon",
                "fill_mode": "border"
            },
            {
                "type": "star",
                "center": [
                    0.7379,
                    0.4492
                ],
                "outer_radius": 0.204,
                "inner_radius": 0.123,
                "num_points": 6,
                "rotation": 4.9583,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4601,
                    0.7241
                ],
                "major_axis": 0.3417,
                "minor_axis": 0.3417,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.7379,
                    0.4492
                ],
                "major_axis": 0.4081,
                "minor_axis": 0.4081,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle of regular pentagon"
            ],
            [
                3,
                1,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "line",
                "points": [
                    [
                        0.8479,
                        1
                    ],
                    [
                        1,
                        0.2633
                    ]
                ]
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.0376,
                        0.3508
                    ],
                    [
                        0.5578,
                        0.0376
                    ],
                    [
                        0.8709,
                        0.5578
                    ],
                    [
                        0.3508,
                        0.8709
                    ]
                ],
                "special_info": "square",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4543,
                    0.4543
                ],
                "major_axis": 0.8587,
                "minor_axis": 0.8587,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                1,
                "circumscribed circle of square"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.6071,
                    0.2279
                ],
                "major_axis": 0.5913,
                "minor_axis": 0.3276,
                "rotation": 2.7999,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "sector",
                "center": [
                    0.415,
                    0.3485
                ],
                "radius": 0.1376,
                "start_angle": 2.7686,
                "end_angle": 4.3157,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6071,
                    0.2279
                ],
                "major_axis": 0.6965,
                "minor_axis": 0.3859,
                "rotation": 2.7999,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "sector",
                "center": [
                    0.2869,
                    0.3986
                ],
                "radius": 0.1376,
                "start_angle": 5.9102,
                "end_angle": 1.1741,
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "concentric"
            ],
            [
                1,
                3,
                "shared edge"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.5663,
                        0.6643
                    ],
                    [
                        0.3364,
                        0.7325
                    ],
                    [
                        0.3702,
                        0.603
                    ],
                    [
                        0.598,
                        0.415
                    ],
                    [
                        0.6774,
                        0.4937
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ray",
                "points": [
                    [
                        0.2454,
                        0.7293
                    ],
                    [
                        0,
                        0.4735
                    ]
                ]
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.1685,
                        0.3967
                    ],
                    [
                        0.0433,
                        0.4339
                    ],
                    [
                        0.0617,
                        0.3634
                    ],
                    [
                        0.1858,
                        0.261
                    ],
                    [
                        0.229,
                        0.3038
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "similar"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ray",
                "points": [
                    [
                        0.2346,
                        0.2058
                    ],
                    [
                        0.6504,
                        0
                    ]
                ]
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.4922,
                        0.5983
                    ],
                    [
                        0.6914,
                        0.4327
                    ],
                    [
                        0.9708,
                        0.7687
                    ],
                    [
                        0.7716,
                        0.9343
                    ]
                ],
                "special_info": "rectangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5279,
                    0.3909
                ],
                "major_axis": 0.592,
                "minor_axis": 0.592,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.7315,
                    0.6835
                ],
                "major_axis": 0.508,
                "minor_axis": 0.508,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "tangent line"
            ],
            [
                3,
                1,
                "circumscribed circle of rectangle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.227,
                    0.4001
                ],
                "major_axis": 0.2074,
                "minor_axis": 0.2074,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.5454,
                        0.6726
                    ],
                    [
                        0.4348,
                        0.7436
                    ],
                    [
                        0.3283,
                        0.4956
                    ]
                ],
                "special_info": "triangle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.3003,
                        0.4735
                    ],
                    [
                        0.1535,
                        0.4732
                    ],
                    [
                        0.1535,
                        0.3269
                    ],
                    [
                        0.3003,
                        0.3267
                    ]
                ],
                "special_info": "square",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.3377,
                        0.6498
                    ],
                    [
                        0.2549,
                        0.703
                    ],
                    [
                        0.1751,
                        0.5173
                    ]
                ],
                "special_info": "triangle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "circumscribed"
            ],
            [
                1,
                3,
                "similar"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.6715,
                    0.2929
                ],
                "major_axis": 0.4795,
                "minor_axis": 0.1599,
                "rotation": 0.2564,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.5423,
                        0.6296
                    ],
                    [
                        0.3513,
                        0.5823
                    ],
                    [
                        0.3619,
                        0.3977
                    ]
                ],
                "special_info": "triangle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.6962,
                        0.3805
                    ],
                    [
                        0.6962,
                        0.3805
                    ],
                    [
                        0.6553,
                        0.3713
                    ],
                    [
                        0.6553,
                        0.3713
                    ],
                    [
                        0.5306,
                        0.1948
                    ],
                    [
                        0.7934,
                        0.251
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4738,
                    0.4968
                ],
                "major_axis": 0.2989,
                "minor_axis": 0.2989,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "circumscribed"
            ],
            [
                3,
                1,
                "circumscribed circle of triangle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.5558,
                    0.5864
                ],
                "major_axis": 0.3415,
                "minor_axis": 0.1841,
                "rotation": 2.6927,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6094,
                    0.6986
                ],
                "major_axis": 0.0648,
                "minor_axis": 0.0648,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "external tangent circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "sector",
                "center": [
                    0.6036,
                    0.3862
                ],
                "radius": 0.255,
                "start_angle": 4.4175,
                "end_angle": 0.6262,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.2957,
                    0.2413
                ],
                "major_axis": 0.1198,
                "minor_axis": 0.1198,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.2502,
                        0.3657
                    ],
                    [
                        0.5698,
                        0.7386
                    ]
                ]
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.3163,
                        0.2976
                    ],
                    [
                        0.275,
                        0.2975
                    ],
                    [
                        0.275,
                        0.1852
                    ],
                    [
                        0.3163,
                        0.1851
                    ]
                ],
                "special_info": "rectangle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "tangent line"
            ],
            [
                1,
                3,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ray",
                "points": [
                    [
                        0.206,
                        0.5446
                    ],
                    [
                        0,
                        0.4461
                    ]
                ]
            },
            {
                "type": "star",
                "center": [
                    0.6765,
                    0.6429
                ],
                "outer_radius": 0.2103,
                "inner_radius": 0.0856,
                "num_points": 6,
                "rotation": 0.2674,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6765,
                    0.6429
                ],
                "major_axis": 0.4205,
                "minor_axis": 0.4205,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                1,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "line",
                "points": [
                    [
                        1,
                        0.7334
                    ],
                    [
                        0.3616,
                        1
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.4487,
                    0.6946
                ],
                "major_axis": 0.595,
                "minor_axis": 0.1629,
                "rotation": 2.4327,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.5966,
                        0.6639
                    ],
                    [
                        0.5755,
                        0.6868
                    ],
                    [
                        0.3376,
                        0.6864
                    ],
                    [
                        0.4306,
                        0.6041
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                2,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.6812,
                    0.446
                ],
                "major_axis": 0.3945,
                "minor_axis": 0.222,
                "rotation": 0.0316,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.6111,
                        0.6277
                    ],
                    [
                        0.7206,
                        0.7064
                    ],
                    [
                        0.6419,
                        0.8159
                    ],
                    [
                        0.5324,
                        0.7372
                    ]
                ],
                "special_info": "square",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6265,
                    0.7218
                ],
                "major_axis": 0.1907,
                "minor_axis": 0.1907,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                1,
                "circumscribed circle of square"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.6199,
                    0.6041
                ],
                "major_axis": 0.2264,
                "minor_axis": 0.2264,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.6823,
                        0.6986
                    ],
                    [
                        0.5573,
                        0.6984
                    ],
                    [
                        0.5573,
                        0.5099
                    ],
                    [
                        0.6823,
                        0.5097
                    ]
                ],
                "special_info": "rectangle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.503,
                        0.5949
                    ],
                    [
                        0.3985,
                        0.4504
                    ],
                    [
                        0.5217,
                        0.2966
                    ]
                ],
                "special_info": "triangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5536,
                    0.4483
                ],
                "major_axis": 0.3101,
                "minor_axis": 0.3101,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "circumscribed circle of triangle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.7161,
                    0.5214
                ],
                "major_axis": 0.3585,
                "minor_axis": 0.3585,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.483,
                        0.5661
                    ],
                    [
                        0.6139,
                        0.3402
                    ]
                ]
            }
        ],
        "relations": [
            [
                0,
                1,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.4127,
                    0.7001
                ],
                "major_axis": 0.2004,
                "minor_axis": 0.2004,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.3781,
                    0.4709
                ],
                "major_axis": 0.225,
                "minor_axis": 0.225,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.2124,
                        0.7064
                    ],
                    [
                        0.5074,
                        0.5235
                    ],
                    [
                        0.5183,
                        0.8704
                    ]
                ],
                "special_info": "equilateral triangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.3781,
                    0.4709
                ],
                "major_axis": 0.2957,
                "minor_axis": 0.2957,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "inscribed"
            ],
            [
                1,
                3,
                "concentric"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.5955,
                        0.7449
                    ],
                    [
                        0.2053,
                        0.692
                    ],
                    [
                        0.2297,
                        0.5972
                    ],
                    [
                        0.5202,
                        0.3863
                    ],
                    [
                        0.7815,
                        0.3909
                    ],
                    [
                        0.7879,
                        0.5243
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.5353,
                        0.6222
                    ],
                    [
                        0.3247,
                        0.5937
                    ],
                    [
                        0.3379,
                        0.5426
                    ],
                    [
                        0.4946,
                        0.4288
                    ],
                    [
                        0.6356,
                        0.4312
                    ],
                    [
                        0.6391,
                        0.5032
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "similar"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.7694,
                        0.8098
                    ],
                    [
                        0.3527,
                        0.8747
                    ],
                    [
                        0.0881,
                        0.5464
                    ],
                    [
                        0.2402,
                        0.1531
                    ],
                    [
                        0.6569,
                        0.0881
                    ],
                    [
                        0.9214,
                        0.4165
                    ]
                ],
                "special_info": "regular hexagon",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5048,
                    0.4814
                ],
                "major_axis": 0.8434,
                "minor_axis": 0.8434,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "circumscribed circle of regular hexagon"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.327,
                    0.6805
                ],
                "major_axis": 0.2664,
                "minor_axis": 0.2664,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.4397,
                        0.7024
                    ],
                    [
                        0.8448,
                        0.5866
                    ],
                    [
                        0.7425,
                        0.9954
                    ]
                ],
                "special_info": "equilateral triangle",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.4027,
                        0.8153
                    ],
                    [
                        0.1456,
                        0.81
                    ]
                ]
            }
        ],
        "relations": [
            [
                0,
                2,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "segment",
                "points": [
                    [
                        0.3196,
                        0.9563
                    ],
                    [
                        0.6788,
                        0.6716
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.3823,
                    0.7511
                ],
                "major_axis": 0.2437,
                "minor_axis": 0.2437,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.4694,
                    0.5919
                ],
                "major_axis": 0.2281,
                "minor_axis": 0.2281,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4694,
                    0.5919
                ],
                "major_axis": 0.2874,
                "minor_axis": 0.2874,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4694,
                    0.5919
                ],
                "major_axis": 0.3621,
                "minor_axis": 0.3621,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4694,
                    0.5919
                ],
                "major_axis": 0.4563,
                "minor_axis": 0.4563,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "concentric"
            ],
            [
                1,
                2,
                "concentric"
            ],
            [
                2,
                3,
                "concentric"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.0469,
                        0.4144
                    ],
                    [
                        0.4164,
                        0.0469
                    ],
                    [
                        0.8802,
                        0.2847
                    ],
                    [
                        0.7973,
                        0.7993
                    ],
                    [
                        0.2822,
                        0.8795
                    ]
                ],
                "special_info": "regular pentagon",
                "fill_mode": "border"
            },
            {
                "type": "sector",
                "center": [
                    0.6494,
                    0.5451
                ],
                "radius": 0.3982,
                "start_angle": 3.3556,
                "end_angle": 3.7666,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.4489,
                        0.7607
                    ],
                    [
                        0.3059,
                        0.7283
                    ],
                    [
                        0.2603,
                        0.4605
                    ],
                    [
                        0.6494,
                        0.5451
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                2,
                "shared edge"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.7941,
                    0.7358
                ],
                "major_axis": 0.1755,
                "minor_axis": 0.1755,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.4691,
                        0.8445
                    ],
                    [
                        0.049,
                        0.5465
                    ],
                    [
                        0.2026,
                        0.0549
                    ],
                    [
                        0.7177,
                        0.049
                    ],
                    [
                        0.8824,
                        0.5371
                    ]
                ],
                "special_info": "regular pentagon",
                "fill_mode": "border"
            }
        ],
        "relations": []
    },
    {
        "shapes": [
            {
                "type": "segment",
                "points": [
                    [
                        0.0773,
                        0.4304
                    ],
                    [
                        0.5634,
                        0.8626
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.4868,
                    0.7462
                ],
                "major_axis": 0.0721,
                "minor_axis": 0.0721,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.8365,
                        0.6454
                    ],
                    [
                        0.7775,
                        0.8577
                    ],
                    [
                        0.5574,
                        0.8672
                    ],
                    [
                        0.4803,
                        0.6608
                    ],
                    [
                        0.6528,
                        0.5238
                    ]
                ],
                "special_info": "regular pentagon",
                "fill_mode": "border"
            },
            {
                "type": "line",
                "points": [
                    [
                        0,
                        0.1093
                    ],
                    [
                        0.6771,
                        0
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.6609,
                    0.711
                ],
                "major_axis": 0.3748,
                "minor_axis": 0.3748,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle of regular pentagon"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "star",
                "center": [
                    0.3366,
                    0.4688
                ],
                "outer_radius": 0.336,
                "inner_radius": 0.1839,
                "num_points": 6,
                "rotation": 5.3091,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.7913,
                    0.3845
                ],
                "major_axis": 0.4753,
                "minor_axis": 0.1528,
                "rotation": 1.3252,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.3366,
                    0.4688
                ],
                "major_axis": 0.6721,
                "minor_axis": 0.6721,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.7913,
                    0.3845
                ],
                "major_axis": 0.6469,
                "minor_axis": 0.208,
                "rotation": 1.3252,
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle"
            ],
            [
                1,
                3,
                "concentric"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "star",
                "center": [
                    0.4985,
                    0.6123
                ],
                "outer_radius": 0.292,
                "inner_radius": 0.1279,
                "num_points": 5,
                "rotation": 4.7065,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4985,
                    0.6123
                ],
                "major_axis": 0.584,
                "minor_axis": 0.584,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.5012,
                        0.4927
                    ],
                    [
                        0.538,
                        0.3783
                    ],
                    [
                        0.6554,
                        0.3529
                    ],
                    [
                        0.7362,
                        0.442
                    ],
                    [
                        0.6994,
                        0.5564
                    ],
                    [
                        0.582,
                        0.5818
                    ]
                ],
                "special_info": "regular hexagon",
                "fill_mode": "border"
            },
            {
                "type": "star",
                "center": [
                    0.3529,
                    0.3181
                ],
                "outer_radius": 0.2237,
                "inner_radius": 0.1289,
                "num_points": 6,
                "rotation": 2.0843,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.3529,
                    0.3181
                ],
                "major_axis": 0.4475,
                "minor_axis": 0.4475,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                1,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "segment",
                "points": [
                    [
                        0.3374,
                        0.4747
                    ],
                    [
                        0.3135,
                        0.2057
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.284,
                    0.7888
                ],
                "major_axis": 0.1245,
                "minor_axis": 0.1245,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.3689,
                    0.4098
                ],
                "major_axis": 0.0741,
                "minor_axis": 0.0741,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.3265,
                        0.8445
                    ],
                    [
                        0.2353,
                        0.8606
                    ],
                    [
                        0.2124,
                        0.75
                    ],
                    [
                        0.2891,
                        0.72
                    ],
                    [
                        0.3648,
                        0.7634
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "tangent line"
            ],
            [
                1,
                3,
                "inscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.026,
                        0.0871
                    ],
                    [
                        0.7982,
                        0.026
                    ],
                    [
                        0.8593,
                        0.7982
                    ],
                    [
                        0.0871,
                        0.8593
                    ]
                ],
                "special_info": "square",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4123,
                    0.5804
                ],
                "major_axis": 0.387,
                "minor_axis": 0.13,
                "rotation": 0.6388,
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": []
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.3095,
                    0.6261
                ],
                "major_axis": 0.6603,
                "minor_axis": 0.2172,
                "rotation": 1.7235,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.4157,
                        0.6503
                    ],
                    [
                        0.1919,
                        0.7128
                    ],
                    [
                        0.2005,
                        0.6214
                    ],
                    [
                        0.2005,
                        0.6214
                    ],
                    [
                        0.2329,
                        0.4753
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ray",
                "points": [
                    [
                        0.6998,
                        0.2916
                    ],
                    [
                        0,
                        0.4554
                    ]
                ]
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.2994,
                        0.4979
                    ],
                    [
                        0.1343,
                        0.5365
                    ]
                ]
            }
        ],
        "relations": [
            [
                0,
                1,
                "parallel"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "segment",
                "points": [
                    [
                        0.0659,
                        0.2586
                    ],
                    [
                        0.7159,
                        0.4885
                    ]
                ]
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.4775,
                        0.7088
                    ],
                    [
                        0.4236,
                        0.6045
                    ],
                    [
                        0.5153,
                        0.5278
                    ],
                    [
                        0.6429,
                        0.5949
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": []
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.3251,
                        0.6224
                    ],
                    [
                        0.2987,
                        0.7199
                    ],
                    [
                        0.2012,
                        0.6936
                    ],
                    [
                        0.2275,
                        0.596
                    ]
                ],
                "special_info": "square",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6613,
                    0.4986
                ],
                "major_axis": 0.6248,
                "minor_axis": 0.2583,
                "rotation": 0.3738,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.404,
                        0.2266
                    ],
                    [
                        0.3852,
                        0.2964
                    ],
                    [
                        0.3154,
                        0.2775
                    ],
                    [
                        0.3343,
                        0.2077
                    ]
                ],
                "special_info": "square",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.8069,
                        0.6638
                    ],
                    [
                        0.4416,
                        0.5202
                    ],
                    [
                        0.5149,
                        0.3334
                    ],
                    [
                        0.8804,
                        0.4764
                    ]
                ],
                "special_info": "rectangle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "similar"
            ],
            [
                1,
                3,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "spiral",
                "center": [
                    0.5338,
                    0.4832
                ],
                "initial_radius": 0.0004,
                "growth_rate": 0.0083,
                "sin_params": [
                    0.0009,
                    1.355,
                    1.6745
                ],
                "max_theta": 21.5727
            },
            {
                "type": "ellipse",
                "center": [
                    0.3761,
                    0.6129
                ],
                "major_axis": 0.5821,
                "minor_axis": 0.1924,
                "rotation": 1.8052,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.3761,
                    0.6129
                ],
                "major_axis": 0.6727,
                "minor_axis": 0.2223,
                "rotation": 1.8052,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.3761,
                    0.6129
                ],
                "major_axis": 0.7773,
                "minor_axis": 0.2569,
                "rotation": 1.8052,
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                2,
                "concentric"
            ],
            [
                2,
                3,
                "concentric"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.6714,
                        0.5779
                    ],
                    [
                        0.3647,
                        0.8391
                    ],
                    [
                        0.1035,
                        0.5324
                    ],
                    [
                        0.4102,
                        0.2712
                    ]
                ],
                "special_info": "square",
                "fill_mode": "border"
            },
            {
                "type": "ray",
                "points": [
                    [
                        0.8071,
                        0.0408
                    ],
                    [
                        0.454,
                        0
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.3874,
                    0.5551
                ],
                "major_axis": 0.5697,
                "minor_axis": 0.5697,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle of square"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.7977,
                        0.5523
                    ],
                    [
                        0.5848,
                        0.4971
                    ],
                    [
                        0.5731,
                        0.3218
                    ]
                ],
                "special_info": "triangle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.4719,
                        0.4975
                    ],
                    [
                        0.8738,
                        0.765
                    ],
                    [
                        0.8032,
                        0.8711
                    ],
                    [
                        0.4013,
                        0.6036
                    ]
                ],
                "special_info": "rectangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.6375,
                    0.6843
                ],
                "major_axis": 0.4993,
                "minor_axis": 0.4993,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                1,
                "circumscribed circle of rectangle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.7538,
                        0.6672
                    ],
                    [
                        0.235,
                        0.2632
                    ],
                    [
                        0.6434,
                        0.3316
                    ]
                ],
                "special_info": "triangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5742,
                    0.4122
                ],
                "major_axis": 0.1817,
                "minor_axis": 0.1817,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "inscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ray",
                "points": [
                    [
                        0.8973,
                        0.5697
                    ],
                    [
                        0.4292,
                        1
                    ]
                ]
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.6407,
                        0.4766
                    ],
                    [
                        0.4153,
                        0.515
                    ],
                    [
                        0.3177,
                        0.4379
                    ],
                    [
                        0.2363,
                        0.2077
                    ],
                    [
                        0.4513,
                        0.2004
                    ],
                    [
                        0.715,
                        0.3607
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4025,
                    0.8448
                ],
                "major_axis": 0.2645,
                "minor_axis": 0.2645,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.5596,
                    0.4839
                ],
                "major_axis": 0.2565,
                "minor_axis": 0.2565,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.2379,
                    0.4905
                ],
                "major_axis": 0.5299,
                "minor_axis": 0.2216,
                "rotation": 2.3802,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5495,
                    0.5629
                ],
                "major_axis": 0.0972,
                "minor_axis": 0.0972,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.5109,
                        0.5252
                    ],
                    [
                        0.3829,
                        0.1626
                    ]
                ]
            }
        ],
        "relations": [
            [
                0,
                2,
                "internal tangent circle"
            ],
            [
                1,
                3,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.2547,
                    0.6314
                ],
                "major_axis": 0.4118,
                "minor_axis": 0.2339,
                "rotation": 1.0902,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.4455,
                        0.7499
                    ],
                    [
                        0.2746,
                        0.4112
                    ]
                ]
            }
        ],
        "relations": [
            [
                0,
                1,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.346,
                    0.2276
                ],
                "major_axis": 0.3417,
                "minor_axis": 0.2023,
                "rotation": 0.5761,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.5582,
                        0.5678
                    ],
                    [
                        0.3414,
                        0.2616
                    ],
                    [
                        0.7938,
                        0.3837
                    ]
                ],
                "special_info": "triangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.2749,
                    0.3352
                ],
                "major_axis": 0.0557,
                "minor_axis": 0.0557,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5788,
                    0.4273
                ],
                "major_axis": 0.1961,
                "minor_axis": 0.1961,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "external tangent circle"
            ],
            [
                3,
                1,
                "inscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.6457,
                    0.3747
                ],
                "major_axis": 0.17,
                "minor_axis": 0.17,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "spiral",
                "center": [
                    0.5318,
                    0.4664
                ],
                "initial_radius": 0.0005,
                "growth_rate": 0.0112,
                "sin_params": [
                    0.0005,
                    1.1872,
                    0.6929
                ],
                "max_theta": 26.4169
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.6562,
                        0.247
                    ],
                    [
                        0.4433,
                        0.4504
                    ]
                ]
            }
        ],
        "relations": [
            [
                0,
                2,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.7934,
                        0.6352
                    ],
                    [
                        0.4755,
                        0.5648
                    ],
                    [
                        0.7493,
                        0.4723
                    ]
                ],
                "special_info": "triangle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.532,
                        0.6859
                    ],
                    [
                        0.5272,
                        0.9651
                    ],
                    [
                        0.2878,
                        0.8214
                    ]
                ],
                "special_info": "equilateral triangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.7066,
                    0.5523
                ],
                "major_axis": 0.1243,
                "minor_axis": 0.1243,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.449,
                    0.8242
                ],
                "major_axis": 0.1612,
                "minor_axis": 0.1612,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "inscribed circle"
            ],
            [
                3,
                1,
                "inscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.513,
                    0.2019
                ],
                "major_axis": 0.1304,
                "minor_axis": 0.1304,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.3384,
                        0.8572
                    ],
                    [
                        0.0238,
                        0.5687
                    ],
                    [
                        0.1164,
                        0.152
                    ],
                    [
                        0.5235,
                        0.0238
                    ],
                    [
                        0.8381,
                        0.3123
                    ],
                    [
                        0.7455,
                        0.729
                    ]
                ],
                "special_info": "regular hexagon",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.5338,
                        0.2637
                    ],
                    [
                        0.4923,
                        0.2637
                    ],
                    [
                        0.4923,
                        0.14
                    ],
                    [
                        0.5338,
                        0.1401
                    ]
                ],
                "special_info": "rectangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4309,
                    0.4405
                ],
                "major_axis": 0.8536,
                "minor_axis": 0.8536,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "circumscribed"
            ],
            [
                3,
                1,
                "circumscribed circle of regular hexagon"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "star",
                "center": [
                    0.6022,
                    0.3559
                ],
                "outer_radius": 0.2212,
                "inner_radius": 0.1363,
                "num_points": 5,
                "rotation": 1.6257,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ray",
                "points": [
                    [
                        0.7326,
                        0.9084
                    ],
                    [
                        1,
                        0.4239
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.6022,
                    0.3559
                ],
                "major_axis": 0.4423,
                "minor_axis": 0.4423,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ray",
                "points": [
                    [
                        0.383,
                        0.8231
                    ],
                    [
                        1,
                        0.5964
                    ]
                ]
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.6816,
                        0.5628
                    ],
                    [
                        0.7116,
                        0.636
                    ],
                    [
                        0.5749,
                        0.6971
                    ],
                    [
                        0.3275,
                        0.4675
                    ],
                    [
                        0.3998,
                        0.3434
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.525,
                        0.2972
                    ],
                    [
                        0.5431,
                        0.3413
                    ],
                    [
                        0.4607,
                        0.3782
                    ],
                    [
                        0.3115,
                        0.2397
                    ],
                    [
                        0.355,
                        0.1648
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                2,
                "similar"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.3918,
                    0.2886
                ],
                "major_axis": 0.2217,
                "minor_axis": 0.2217,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4989,
                    0.4514
                ],
                "major_axis": 0.1681,
                "minor_axis": 0.1681,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "external tangent circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.7962,
                        0.5012
                    ],
                    [
                        0.7698,
                        0.6006
                    ],
                    [
                        0.6969,
                        0.528
                    ]
                ],
                "special_info": "equilateral triangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.7543,
                    0.5433
                ],
                "major_axis": 0.0594,
                "minor_axis": 0.0594,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "inscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.3367,
                    0.7224
                ],
                "major_axis": 0.1587,
                "minor_axis": 0.1587,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.3742,
                        0.7913
                    ],
                    [
                        0.4034,
                        0.3881
                    ],
                    [
                        0.6885,
                        0.3773
                    ]
                ],
                "special_info": "triangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5543,
                    0.6017
                ],
                "major_axis": 0.523,
                "minor_axis": 0.523,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                1,
                "circumscribed circle of triangle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "star",
                "center": [
                    0.7669,
                    0.3617
                ],
                "outer_radius": 0.2264,
                "inner_radius": 0.102,
                "num_points": 5,
                "rotation": 2.8664,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.7669,
                    0.3617
                ],
                "major_axis": 0.4527,
                "minor_axis": 0.4527,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.6903,
                        0.6222
                    ],
                    [
                        0.6935,
                        0.67
                    ],
                    [
                        0.4406,
                        0.4057
                    ],
                    [
                        0.4376,
                        0.3477
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "segment",
                "points": [
                    [
                        0.0265,
                        0.8873
                    ],
                    [
                        0.7892,
                        0.8838
                    ]
                ]
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.3239,
                        0.2489
                    ],
                    [
                        0.3258,
                        0.2772
                    ],
                    [
                        0.1756,
                        0.1204
                    ],
                    [
                        0.1738,
                        0.0859
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.4696,
                    0.8073
                ],
                "major_axis": 0.156,
                "minor_axis": 0.156,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "similar"
            ],
            [
                1,
                3,
                "tangent line"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.6048,
                        0.6684
                    ],
                    [
                        0.2215,
                        0.4662
                    ],
                    [
                        0.7045,
                        0.3622
                    ]
                ],
                "special_info": "triangle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.472,
                    0.4558
                ],
                "major_axis": 0.5014,
                "minor_axis": 0.5014,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                0,
                "circumscribed circle of triangle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.3171,
                    0.5646
                ],
                "major_axis": 0.3044,
                "minor_axis": 0.079,
                "rotation": 0.5489,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.3883,
                    0.4528
                ],
                "major_axis": 0.1862,
                "minor_axis": 0.1862,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "external tangent circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "spiral",
                "center": [
                    0.4738,
                    0.5246
                ],
                "initial_radius": 0.0006,
                "growth_rate": 0.0132,
                "sin_params": [
                    0.0013,
                    0.9888,
                    2.4376
                ],
                "max_theta": 21.2472
            },
            {
                "type": "sector",
                "center": [
                    0.7259,
                    0.6657
                ],
                "radius": 0.3735,
                "start_angle": 4.9512,
                "end_angle": 5.243,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.7259,
                        0.6657
                    ],
                    [
                        0.6084,
                        0.5146
                    ],
                    [
                        0.8142,
                        0.3028
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                1,
                2,
                "shared edge"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.696,
                        0.5336
                    ],
                    [
                        0.8041,
                        0.5109
                    ],
                    [
                        0.8779,
                        0.5932
                    ],
                    [
                        0.8436,
                        0.6982
                    ],
                    [
                        0.7354,
                        0.721
                    ],
                    [
                        0.6616,
                        0.6387
                    ]
                ],
                "special_info": "regular hexagon",
                "fill_mode": "border"
            },
            {
                "type": "ray",
                "points": [
                    [
                        0.3265,
                        0.9944
                    ],
                    [
                        1,
                        0.6655
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.7698,
                    0.6159
                ],
                "major_axis": 0.2211,
                "minor_axis": 0.2211,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle of regular hexagon"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "segment",
                "points": [
                    [
                        0.544,
                        0.7447
                    ],
                    [
                        0.5125,
                        0.9785
                    ]
                ]
            },
            {
                "type": "star",
                "center": [
                    0.5318,
                    0.4589
                ],
                "outer_radius": 0.2511,
                "inner_radius": 0.1445,
                "num_points": 5,
                "rotation": 2.3324,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5283,
                    0.8616
                ],
                "major_axis": 0.2358,
                "minor_axis": 0.1768,
                "rotation": 1.7045,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.5318,
                    0.4589
                ],
                "major_axis": 0.5021,
                "minor_axis": 0.5021,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "major axis"
            ],
            [
                3,
                1,
                "circumscribed circle"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "polygon",
                "points": [
                    [
                        0.7289,
                        0.5137
                    ],
                    [
                        0.6324,
                        0.6066
                    ],
                    [
                        0.3536,
                        0.5635
                    ],
                    [
                        0.3137,
                        0.3385
                    ],
                    [
                        0.5045,
                        0.2444
                    ],
                    [
                        0.7157,
                        0.4414
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.8581,
                        0.5653
                    ],
                    [
                        0.6643,
                        0.7516
                    ],
                    [
                        0.1049,
                        0.6653
                    ],
                    [
                        0.0248,
                        0.2137
                    ],
                    [
                        0.4076,
                        0.0248
                    ],
                    [
                        0.8315,
                        0.4202
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                1,
                "similar"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "ellipse",
                "center": [
                    0.3322,
                    0.3987
                ],
                "major_axis": 0.4579,
                "minor_axis": 0.2682,
                "rotation": 0.1956,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.7859,
                    0.2431
                ],
                "major_axis": 0.4056,
                "minor_axis": 0.4056,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            },
            {
                "type": "ellipse",
                "center": [
                    0.3322,
                    0.3987
                ],
                "major_axis": 0.5643,
                "minor_axis": 0.3304,
                "rotation": 0.1956,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "polygon",
                "points": [
                    [
                        0.8336,
                        0.4402
                    ],
                    [
                        0.7253,
                        0.4366
                    ],
                    [
                        0.6091,
                        0.3425
                    ],
                    [
                        0.6715,
                        0.0756
                    ],
                    [
                        0.8591,
                        0.0539
                    ]
                ],
                "special_info": "",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                0,
                2,
                "concentric"
            ],
            [
                1,
                3,
                "circumscribed"
            ]
        ]
    },
    {
        "shapes": [
            {
                "type": "star",
                "center": [
                    0.4208,
                    0.5126
                ],
                "outer_radius": 0.211,
                "inner_radius": 0.1003,
                "num_points": 6,
                "rotation": 6.1851,
                "special_info": "",
                "fill_mode": "border"
            },
            {
                "type": "line",
                "points": [
                    [
                        0.5661,
                        1
                    ],
                    [
                        1,
                        0.7951
                    ]
                ]
            },
            {
                "type": "ellipse",
                "center": [
                    0.4208,
                    0.5126
                ],
                "major_axis": 0.422,
                "minor_axis": 0.422,
                "rotation": 0,
                "special_info": "circle",
                "fill_mode": "border"
            }
        ],
        "relations": [
            [
                2,
                0,
                "circumscribed circle"
            ]
        ]
    }
]