{ "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 ], [ 160.0, 0.0 ], [ 0.0, 160.0 ] ], "start_pose": { "reflect": false, "rot_deg": 225.0, "tx": 585.6931663751269, "ty": 142.4821066602548 } }, { "piece_id": "large_tri_2", "color": [ 147, 94, 54 ], "vertices": [ [ 0.0, 0.0 ], [ 160.0, 0.0 ], [ 0.0, 160.0 ] ], "start_pose": { "reflect": false, "rot_deg": 135.0, "tx": 785.8967182264278, "ty": 335.12939191479865 } }, { "piece_id": "medium_tri", "color": [ 64, 139, 151 ], "vertices": [ [ 0.0, 0.0 ], [ 113.1371, 0.0 ], [ 0.0, 113.1371 ] ], "start_pose": { "reflect": false, "rot_deg": 225.0, "tx": 100.06724299842526, "ty": 446.77886463643574 } }, { "piece_id": "square", "color": [ 164, 75, 64 ], "vertices": [ [ 0.0, 0.0 ], [ 80.0, 0.0 ], [ 80.0, 80.0 ], [ 0.0, 80.0 ] ], "start_pose": { "reflect": false, "rot_deg": 90.0, "tx": 163.43671110977533, "ty": 148.20562663181298 } }, { "piece_id": "parallelogram", "color": [ 177, 119, 48 ], "vertices": [ [ 0.0, 0.0 ], [ 80.0, 0.0 ], [ 160.0, 80.0 ], [ 80.0, 80.0 ] ], "start_pose": { "reflect": false, "rot_deg": 135.0, "tx": 660.4883350143346, "ty": 387.64642210237685 } }, { "piece_id": "small_tri_1", "color": [ 70, 111, 93 ], "vertices": [ [ 0.0, 0.0 ], [ 80.0, 0.0 ], [ 0.0, 80.0 ] ], "start_pose": { "reflect": false, "rot_deg": 225.0, "tx": 742.8435116489679, "ty": 136.73158952245254 } }, { "piece_id": "small_tri_2", "color": [ 132, 53, 133 ], "vertices": [ [ 0.0, 0.0 ], [ 80.0, 0.0 ], [ 0.0, 80.0 ] ], "start_pose": { "reflect": false, "rot_deg": 315.0, "tx": 738.632537227766, "ty": 244.247396771082 } } ], "target_silhouette": [ [ [ 416.0, 120.0 ], [ 336.0, 120.0 ], [ 256.0, 120.0 ], [ 336.0, 200.0 ], [ 256.0, 200.0 ], [ 256.0, 280.0 ], [ 256.0, 360.0 ], [ 336.0, 280.0 ], [ 336.0, 360.0 ], [ 496.0, 360.0 ], [ 576.0, 280.0 ], [ 496.0, 200.0 ], [ 416.0, 200.0 ], [ 416.0, 120.0 ] ] ] }