{ "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": [ 164, 75, 64 ], "vertices": [ [ 0.0, 0.0 ], [ 113.137, 0.0 ], [ 0.0, 113.137 ] ], "start_pose": { "reflect": false, "rot_deg": 270.0, "tx": 701.133385487975, "ty": 334.904112258494 } }, { "piece_id": "large_tri_2", "color": [ 177, 119, 48 ], "vertices": [ [ 0.0, 0.0 ], [ 113.137, 0.0 ], [ 0.0, 113.137 ] ], "start_pose": { "reflect": false, "rot_deg": 90.0, "tx": 639.8801459484189, "ty": 351.81272886038084 } }, { "piece_id": "medium_tri", "color": [ 147, 94, 54 ], "vertices": [ [ 0.0, 0.0 ], [ 80.0, 0.0 ], [ 0.0, 80.0 ] ], "start_pose": { "reflect": false, "rot_deg": 270.0, "tx": 88.47058683981189, "ty": 256.0373271370319 } }, { "piece_id": "square", "color": [ 64, 139, 151 ], "vertices": [ [ 0.0, 0.0 ], [ 56.5685, 0.0 ], [ 56.5685, 56.5685 ], [ 0.0, 56.5685 ] ], "start_pose": { "reflect": false, "rot_deg": 180.0, "tx": 663.4557824030686, "ty": 235.2848452932618 } }, { "piece_id": "parallelogram", "color": [ 70, 111, 93 ], "vertices": [ [ 0.0, 0.0 ], [ 56.5685, 0.0 ], [ 113.137, 56.5685 ], [ 56.5685, 56.5685 ] ], "start_pose": { "reflect": true, "rot_deg": 225.0, "tx": 624.5647385253615, "ty": 129.4066328290508 } }, { "piece_id": "small_tri_1", "color": [ 66, 72, 155 ], "vertices": [ [ 0.0, 0.0 ], [ 56.5685, 0.0 ], [ 0.0, 56.5685 ] ], "start_pose": { "reflect": false, "rot_deg": 225.0, "tx": 83.28041397910089, "ty": 451.9979560395393 } }, { "piece_id": "small_tri_2", "color": [ 132, 53, 133 ], "vertices": [ [ 0.0, 0.0 ], [ 56.5685, 0.0 ], [ 0.0, 56.5685 ] ], "start_pose": { "reflect": false, "rot_deg": 0.0, "tx": 618.1003018621306, "ty": 60.14483442452878 } } ], "target_silhouette": [ [ [ 356.0, 180.0 ], [ 356.0, 260.0 ], [ 316.0, 300.0 ], [ 396.0, 300.0 ], [ 356.0, 340.0 ], [ 316.0001, 380.0 ], [ 396.0, 379.9999 ], [ 436.0, 340.0 ], [ 436.0, 260.0 ], [ 516.0, 260.0 ], [ 436.0, 180.0001 ], [ 436.0, 180.0 ], [ 356.0, 100.0 ], [ 316.0, 140.0 ], [ 316.0, 219.9999 ], [ 356.0, 180.0 ] ] ] }