{ "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": [ 147, 94, 54 ], "vertices": [ [ 0.0, 0.0 ], [ 129.2995, 0.0 ], [ 0.0, 129.2995 ] ], "start_pose": { "reflect": false, "rot_deg": 0.0, "tx": 80.21486777318495, "ty": 235.32020562877085 } }, { "piece_id": "large_tri_2", "color": [ 132, 53, 133 ], "vertices": [ [ 0.0, 0.0 ], [ 129.2995, 0.0 ], [ 0.0, 129.2995 ] ], "start_pose": { "reflect": false, "rot_deg": 0.0, "tx": 26.031971488816907, "ty": 81.28271691128072 } }, { "piece_id": "medium_tri", "color": [ 164, 75, 64 ], "vertices": [ [ 0.0, 0.0 ], [ 91.4285, 0.0 ], [ 0.0, 91.4285 ] ], "start_pose": { "reflect": false, "rot_deg": 315.0, "tx": 124.06801486322283, "ty": 363.62494454015007 } }, { "piece_id": "square", "color": [ 64, 139, 151 ], "vertices": [ [ 0.0, 0.0 ], [ 64.6497, 0.0 ], [ 64.6497, 64.6497 ], [ 0.0, 64.6497 ] ], "start_pose": { "reflect": false, "rot_deg": 0.0, "tx": 733.2626220472752, "ty": 110.28487085861684 } }, { "piece_id": "parallelogram", "color": [ 66, 72, 155 ], "vertices": [ [ 0.0, 0.0 ], [ 64.6497, 0.0 ], [ 129.2995, 64.6497 ], [ 64.6497, 64.6497 ] ], "start_pose": { "reflect": false, "rot_deg": 315.0, "tx": 182.06046724390876, "ty": 80.56949452165708 } }, { "piece_id": "small_tri_1", "color": [ 70, 111, 93 ], "vertices": [ [ 0.0, 0.0 ], [ 64.6497, 0.0 ], [ 0.0, 64.6497 ] ], "start_pose": { "reflect": false, "rot_deg": 45.0, "tx": 720.5352715180051, "ty": 24.65270759579607 } }, { "piece_id": "small_tri_2", "color": [ 177, 119, 48 ], "vertices": [ [ 0.0, 0.0 ], [ 64.6497, 0.0 ], [ 0.0, 64.6497 ] ], "start_pose": { "reflect": false, "rot_deg": 135.0, "tx": 655.582136398871, "ty": 215.72944125435595 } } ], "target_silhouette": [ [ [ 484.5714, 125.7143 ], [ 393.1429, 217.1429 ], [ 393.1429, 217.1429 ], [ 347.4286, 171.4286 ], [ 301.7143, 217.1429 ], [ 256.0, 171.4286 ], [ 256.0, 262.8571 ], [ 347.4286, 262.8571 ], [ 301.7143, 308.5714 ], [ 256.0, 354.2857 ], [ 347.4286, 354.2857 ], [ 393.1429, 308.5714 ], [ 484.5714, 308.5714 ], [ 576.0, 217.1429 ], [ 484.5714, 217.1429 ], [ 484.5714, 125.7143 ] ] ] }