{ "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 ], [ 131.9933, 0.0 ], [ 0.0, 131.9933 ] ], "start_pose": { "reflect": false, "rot_deg": 45.0, "tx": 139.85620146963566, "ty": 306.078009891853 } }, { "piece_id": "large_tri_2", "color": [ 147, 94, 54 ], "vertices": [ [ 0.0, 0.0 ], [ 131.9933, 0.0 ], [ 0.0, 131.9933 ] ], "start_pose": { "reflect": false, "rot_deg": 45.0, "tx": 597.1943488374583, "ty": 316.68910168706316 } }, { "piece_id": "medium_tri", "color": [ 177, 119, 48 ], "vertices": [ [ 0.0, 0.0 ], [ 93.3333, 0.0 ], [ 0.0, 93.3333 ] ], "start_pose": { "reflect": false, "rot_deg": 90.0, "tx": 815.575219213468, "ty": 63.181817235766374 } }, { "piece_id": "square", "color": [ 64, 139, 151 ], "vertices": [ [ 0.0, 0.0 ], [ 65.9966, 0.0 ], [ 65.9966, 65.9966 ], [ 0.0, 65.9966 ] ], "start_pose": { "reflect": false, "rot_deg": 90.0, "tx": 103.73385332843682, "ty": 69.15873205386882 } }, { "piece_id": "parallelogram", "color": [ 164, 75, 64 ], "vertices": [ [ 0.0, 0.0 ], [ 65.9966, 0.0 ], [ 131.9933, 65.9966 ], [ 65.9966, 65.9966 ] ], "start_pose": { "reflect": true, "rot_deg": 225.0, "tx": 646.342612345808, "ty": 146.18412149507344 } }, { "piece_id": "small_tri_1", "color": [ 70, 111, 93 ], "vertices": [ [ 0.0, 0.0 ], [ 65.9966, 0.0 ], [ 0.0, 65.9966 ] ], "start_pose": { "reflect": false, "rot_deg": 225.0, "tx": 238.42707949449547, "ty": 178.85361757701574 } }, { "piece_id": "small_tri_2", "color": [ 132, 53, 133 ], "vertices": [ [ 0.0, 0.0 ], [ 65.9966, 0.0 ], [ 0.0, 65.9966 ] ], "start_pose": { "reflect": false, "rot_deg": 270.0, "tx": 143.9716597532497, "ty": 289.2637651828294 } } ], "target_silhouette": [ [ [ 439.3333, 146.6666 ], [ 392.6667, 193.3333 ], [ 346.0, 146.6666 ], [ 346.0, 240.0 ], [ 392.6667, 286.6667 ], [ 299.3333, 286.6667 ], [ 346.0, 333.3334 ], [ 392.6667, 380.0 ], [ 439.3333, 333.3334 ], [ 532.6667, 333.3334 ], [ 532.6667, 240.0 ], [ 486.0, 193.3333 ], [ 532.6667, 146.6666 ], [ 486.0, 100.0 ], [ 439.3333, 146.6666 ] ] ] }