{ "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 ], [ 129.2995, 0.0 ], [ 0.0, 129.2995 ] ], "start_pose": { "reflect": false, "rot_deg": 315.0, "tx": 96.06940902890028, "ty": 267.92084753518463 } }, { "piece_id": "large_tri_2", "color": [ 164, 75, 64 ], "vertices": [ [ 0.0, 0.0 ], [ 129.2995, 0.0 ], [ 0.0, 129.2995 ] ], "start_pose": { "reflect": false, "rot_deg": 225.0, "tx": 643.0634185536057, "ty": 259.2755301317983 } }, { "piece_id": "medium_tri", "color": [ 132, 53, 133 ], "vertices": [ [ 0.0, 0.0 ], [ 91.4286, 0.0 ], [ 0.0, 91.4286 ] ], "start_pose": { "reflect": false, "rot_deg": 45.0, "tx": 742.2515858744243, "ty": 374.5340232721568 } }, { "piece_id": "square", "color": [ 147, 94, 54 ], "vertices": [ [ 0.0, 0.0 ], [ 64.6498, 0.0 ], [ 64.6498, 64.6498 ], [ 0.0, 64.6498 ] ], "start_pose": { "reflect": false, "rot_deg": 0.0, "tx": 400.163677828028, "ty": 391.1450904166828 } }, { "piece_id": "parallelogram", "color": [ 177, 119, 48 ], "vertices": [ [ 0.0, 0.0 ], [ 64.6498, 0.0 ], [ 129.2995, 64.6498 ], [ 64.6498, 64.6498 ] ], "start_pose": { "reflect": false, "rot_deg": 270.0, "tx": 32.879208994761136, "ty": 440.99669636130983 } }, { "piece_id": "small_tri_1", "color": [ 66, 72, 155 ], "vertices": [ [ 0.0, 0.0 ], [ 64.6498, 0.0 ], [ 0.0, 64.6498 ] ], "start_pose": { "reflect": false, "rot_deg": 0.0, "tx": 232.00528341488604, "ty": 45.300548561301845 } }, { "piece_id": "small_tri_2", "color": [ 64, 139, 151 ], "vertices": [ [ 0.0, 0.0 ], [ 64.6498, 0.0 ], [ 0.0, 64.6498 ] ], "start_pose": { "reflect": false, "rot_deg": 135.0, "tx": 714.0686693099326, "ty": 336.4190149773027 } } ], "target_silhouette": [ [ [ 301.7142, 148.5715 ], [ 256.0, 194.2858 ], [ 347.4285, 194.2857 ], [ 301.7143, 240.0 ], [ 301.7142, 240.0 ], [ 301.7142, 331.4286 ], [ 347.4285, 377.1429 ], [ 393.1428, 331.4286 ], [ 438.8572, 285.7143 ], [ 530.2857, 285.7143 ], [ 576.0, 240.0 ], [ 484.5715, 240.0 ], [ 393.1428, 148.5714 ], [ 347.4285, 102.8571 ], [ 301.7142, 148.5715 ] ] ] }