{ "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": [ 164, 75, 64 ], "vertices": [ [ 0.0, 0.0 ], [ 87.9955, 0.0 ], [ 0.0, 87.9955 ] ], "start_pose": { "reflect": false, "rot_deg": 90.0, "tx": 655.9303032832618, "ty": 296.5030664067687 } }, { "piece_id": "large_tri_2", "color": [ 147, 94, 54 ], "vertices": [ [ 0.0, 0.0 ], [ 87.9955, 0.0 ], [ 0.0, 87.9955 ] ], "start_pose": { "reflect": false, "rot_deg": 135.0, "tx": 250.32917149840856, "ty": 349.087270418218 } }, { "piece_id": "medium_tri", "color": [ 177, 119, 48 ], "vertices": [ [ 0.0, 0.0 ], [ 62.2222, 0.0 ], [ 0.0, 62.2222 ] ], "start_pose": { "reflect": false, "rot_deg": 180.0, "tx": 309.34509780348134, "ty": 384.34847114410235 } }, { "piece_id": "square", "color": [ 132, 53, 133 ], "vertices": [ [ 0.0, 0.0 ], [ 43.9977, 0.0 ], [ 43.9977, 43.9977 ], [ 0.0, 43.9977 ] ], "start_pose": { "reflect": false, "rot_deg": 90.0, "tx": 269.11756178879455, "ty": 195.48062498574907 } }, { "piece_id": "parallelogram", "color": [ 70, 111, 93 ], "vertices": [ [ 0.0, 0.0 ], [ 43.9977, 0.0 ], [ 87.9955, 43.9977 ], [ 43.9977, 43.9977 ] ], "start_pose": { "reflect": false, "rot_deg": 90.0, "tx": 136.0800178471468, "ty": 138.90768574712575 } }, { "piece_id": "small_tri_1", "color": [ 64, 139, 151 ], "vertices": [ [ 0.0, 0.0 ], [ 43.9977, 0.0 ], [ 0.0, 43.9977 ] ], "start_pose": { "reflect": false, "rot_deg": 135.0, "tx": 271.9546786073022, "ty": 290.5535493250251 } }, { "piece_id": "small_tri_2", "color": [ 66, 72, 155 ], "vertices": [ [ 0.0, 0.0 ], [ 43.9977, 0.0 ], [ 0.0, 43.9977 ] ], "start_pose": { "reflect": false, "rot_deg": 90.0, "tx": 501.87662036522687, "ty": 44.34575006819105 } } ], "target_silhouette": [ [ [ 384.8889, 162.2222 ], [ 384.8889, 286.6667 ], [ 322.6667, 286.6667 ], [ 353.7778, 317.7778 ], [ 353.7778, 380.0 ], [ 384.8889, 348.8889 ], [ 416.0, 317.7778 ], [ 447.1111, 348.8889 ], [ 509.3333, 286.6667 ], [ 447.1111, 286.6667 ], [ 447.1111, 224.4444 ], [ 416.0, 193.3333 ], [ 416.0, 131.1111 ], [ 384.8889, 100.0 ], [ 384.8889, 162.2222 ] ] ] }