{ "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": [ 70, 111, 93 ], "vertices": [ [ 0.0, 0.0 ], [ 112.0, 0.0 ], [ 0.0, 112.0 ] ], "start_pose": { "reflect": false, "rot_deg": 90.0, "tx": 264.52413812191367, "ty": 46.80989275637249 } }, { "piece_id": "large_tri_2", "color": [ 147, 94, 54 ], "vertices": [ [ 0.0, 0.0 ], [ 112.0, 0.0 ], [ 0.0, 112.0 ] ], "start_pose": { "reflect": false, "rot_deg": 45.0, "tx": 651.1639255367705, "ty": 331.23228206987903 } }, { "piece_id": "medium_tri", "color": [ 66, 72, 155 ], "vertices": [ [ 0.0, 0.0 ], [ 79.196, 0.0 ], [ 0.0, 79.196 ] ], "start_pose": { "reflect": false, "rot_deg": 0.0, "tx": 58.37161192740488, "ty": 84.96162207982306 } }, { "piece_id": "square", "color": [ 132, 53, 133 ], "vertices": [ [ 0.0, 0.0 ], [ 56.0, 0.0 ], [ 56.0, 56.0 ], [ 0.0, 56.0 ] ], "start_pose": { "reflect": false, "rot_deg": 45.0, "tx": 152.23427324008676, "ty": 329.15513462639535 } }, { "piece_id": "parallelogram", "color": [ 64, 139, 151 ], "vertices": [ [ 0.0, 0.0 ], [ 56.0, 0.0 ], [ 112.0, 56.0 ], [ 56.0, 56.0 ] ], "start_pose": { "reflect": true, "rot_deg": 315.0, "tx": 647.1703956931995, "ty": 202.90299113011184 } }, { "piece_id": "small_tri_1", "color": [ 164, 75, 64 ], "vertices": [ [ 0.0, 0.0 ], [ 56.0, 0.0 ], [ 0.0, 56.0 ] ], "start_pose": { "reflect": false, "rot_deg": 225.0, "tx": 198.67164288336798, "ty": 308.1087222089272 } }, { "piece_id": "small_tri_2", "color": [ 177, 119, 48 ], "vertices": [ [ 0.0, 0.0 ], [ 56.0, 0.0 ], [ 0.0, 56.0 ] ], "start_pose": { "reflect": false, "rot_deg": 135.0, "tx": 743.2674155276741, "ty": 325.23321088605707 } } ], "target_silhouette": [ [ [ 388.0, 212.0 ], [ 332.0, 268.0 ], [ 276.0, 268.0 ], [ 276.0, 324.0 ], [ 332.0, 324.0 ], [ 388.0, 380.0 ], [ 388.0, 324.0 ], [ 500.0, 212.0 ], [ 500.0, 156.0 ], [ 556.0, 156.0 ], [ 556.0, 100.0 ], [ 500.0, 100.0 ], [ 388.0, 212.0 ] ] ] }