{ "canvas": { "width": 832, "height": 480 }, "instructions": "Rigidly move all seven pieces (translation + rotation; the parallelogram may also be reflected) so that together they exactly tile target_silhouette without overlaps. Report each piece's final pose.", "pieces": [ { "piece_id": "large_tri_1", "color": [ 66, 72, 155 ], "vertices": [ [ 0.0, 0.0 ], [ 113.137, 0.0 ], [ 0.0, 113.137 ] ], "start_pose": { "reflect": false, "rot_deg": 315.0, "tx": 537.4277725642746, "ty": 314.12250750018706 } }, { "piece_id": "large_tri_2", "color": [ 177, 119, 48 ], "vertices": [ [ 0.0, 0.0 ], [ 113.137, 0.0 ], [ 0.0, 113.137 ] ], "start_pose": { "reflect": false, "rot_deg": 225.0, "tx": 166.49943921210087, "ty": 130.96673468999455 } }, { "piece_id": "medium_tri", "color": [ 147, 94, 54 ], "vertices": [ [ 0.0, 0.0 ], [ 80.0, 0.0 ], [ 0.0, 80.0 ] ], "start_pose": { "reflect": false, "rot_deg": 135.0, "tx": 228.38431410931366, "ty": 370.7213969901493 } }, { "piece_id": "square", "color": [ 70, 111, 93 ], "vertices": [ [ 0.0, 0.0 ], [ 56.5685, 0.0 ], [ 56.5685, 56.5685 ], [ 0.0, 56.5685 ] ], "start_pose": { "reflect": false, "rot_deg": 180.0, "tx": 134.59390001081027, "ty": 458.94737178343115 } }, { "piece_id": "parallelogram", "color": [ 164, 75, 64 ], "vertices": [ [ 0.0, 0.0 ], [ 56.5685, 0.0 ], [ 113.137, 56.5685 ], [ 56.5685, 56.5685 ] ], "start_pose": { "reflect": false, "rot_deg": 0.0, "tx": 686.1752247322221, "ty": 156.16283478987918 } }, { "piece_id": "small_tri_1", "color": [ 64, 139, 151 ], "vertices": [ [ 0.0, 0.0 ], [ 56.5685, 0.0 ], [ 0.0, 56.5685 ] ], "start_pose": { "reflect": false, "rot_deg": 180.0, "tx": 308.00462498548274, "ty": 414.79109405770265 } }, { "piece_id": "small_tri_2", "color": [ 132, 53, 133 ], "vertices": [ [ 0.0, 0.0 ], [ 56.5685, 0.0 ], [ 0.0, 56.5685 ] ], "start_pose": { "reflect": false, "rot_deg": 45.0, "tx": 771.0976786880893, "ty": 279.1360677422953 } } ], "target_silhouette": [ [ [ 356.0, 180.0 ], [ 316.0, 220.0 ], [ 396.0, 220.0 ], [ 396.0, 300.0 ], [ 396.0, 380.0 ], [ 476.0, 380.0 ], [ 476.0, 220.0 ], [ 516.0, 180.0 ], [ 476.0, 140.0 ], [ 436.0, 180.0 ], [ 396.0, 140.0 ], [ 356.0, 100.0 ], [ 316.0, 140.0 ], [ 356.0, 180.0 ] ] ] }