{ "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 ], [ 106.6667, 0.0 ], [ 0.0, 106.6667 ] ], "start_pose": { "reflect": false, "rot_deg": 90.0, "tx": 609.847704215774, "ty": 146.1767848136471 } }, { "piece_id": "large_tri_2", "color": [ 164, 75, 64 ], "vertices": [ [ 0.0, 0.0 ], [ 106.6667, 0.0 ], [ 0.0, 106.6667 ] ], "start_pose": { "reflect": false, "rot_deg": 45.0, "tx": 685.6216239863543, "ty": 191.9936411649394 } }, { "piece_id": "medium_tri", "color": [ 132, 53, 133 ], "vertices": [ [ 0.0, 0.0 ], [ 75.4247, 0.0 ], [ 0.0, 75.4247 ] ], "start_pose": { "reflect": false, "rot_deg": 45.0, "tx": 150.65085128797716, "ty": 267.1797554856938 } }, { "piece_id": "square", "color": [ 177, 119, 48 ], "vertices": [ [ 0.0, 0.0 ], [ 53.3333, 0.0 ], [ 53.3333, 53.3333 ], [ 0.0, 53.3333 ] ], "start_pose": { "reflect": false, "rot_deg": 135.0, "tx": 477.0943615291021, "ty": 98.14649888268487 } }, { "piece_id": "parallelogram", "color": [ 64, 139, 151 ], "vertices": [ [ 0.0, 0.0 ], [ 53.3333, 0.0 ], [ 106.6667, 53.3333 ], [ 53.3333, 53.3333 ] ], "start_pose": { "reflect": false, "rot_deg": 180.0, "tx": 166.34135727148535, "ty": 462.93863188375946 } }, { "piece_id": "small_tri_1", "color": [ 147, 94, 54 ], "vertices": [ [ 0.0, 0.0 ], [ 53.3333, 0.0 ], [ 0.0, 53.3333 ] ], "start_pose": { "reflect": false, "rot_deg": 315.0, "tx": 45.78370906791647, "ty": 246.54542716689008 } }, { "piece_id": "small_tri_2", "color": [ 66, 72, 155 ], "vertices": [ [ 0.0, 0.0 ], [ 53.3333, 0.0 ], [ 0.0, 53.3333 ] ], "start_pose": { "reflect": false, "rot_deg": 225.0, "tx": 592.9945272243539, "ty": 123.25857518036841 } } ], "target_silhouette": [ [ [ 309.3333, 213.3333 ], [ 309.3333, 266.6667 ], [ 362.6667, 266.6667 ], [ 362.6667, 320.0 ], [ 416.0, 320.0 ], [ 522.6667, 320.0 ], [ 576.0, 266.6667 ], [ 522.6667, 266.6667 ], [ 522.6667, 213.3333 ], [ 469.3333, 213.3333 ], [ 469.3333, 266.6667 ], [ 416.0, 213.3333 ], [ 362.6667, 213.3333 ], [ 309.3333, 160.0 ], [ 256.0, 160.0 ], [ 309.3333, 213.3333 ] ] ] }