{ "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": [ 132, 53, 133 ], "vertices": [ [ 0.0, 0.0 ], [ 113.137, 0.0 ], [ 0.0, 113.137 ] ], "start_pose": { "reflect": false, "rot_deg": 225.0, "tx": 98.63997039634607, "ty": 371.83623986829593 } }, { "piece_id": "large_tri_2", "color": [ 70, 111, 93 ], "vertices": [ [ 0.0, 0.0 ], [ 113.137, 0.0 ], [ 0.0, 113.137 ] ], "start_pose": { "reflect": false, "rot_deg": 135.0, "tx": 654.4302210206744, "ty": 333.26700226706515 } }, { "piece_id": "medium_tri", "color": [ 64, 139, 151 ], "vertices": [ [ 0.0, 0.0 ], [ 80.0, 0.0 ], [ 0.0, 80.0 ] ], "start_pose": { "reflect": false, "rot_deg": 270.0, "tx": 712.6863236100254, "ty": 295.8475985810374 } }, { "piece_id": "square", "color": [ 66, 72, 155 ], "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": 583.8354094808633, "ty": 197.24161746246642 } }, { "piece_id": "parallelogram", "color": [ 177, 119, 48 ], "vertices": [ [ 0.0, 0.0 ], [ 56.5685, 0.0 ], [ 113.137, 56.5685 ], [ 56.5685, 56.5685 ] ], "start_pose": { "reflect": false, "rot_deg": 90.0, "tx": 772.1334547459421, "ty": 39.231320743114686 } }, { "piece_id": "small_tri_1", "color": [ 164, 75, 64 ], "vertices": [ [ 0.0, 0.0 ], [ 56.5685, 0.0 ], [ 0.0, 56.5685 ] ], "start_pose": { "reflect": false, "rot_deg": 180.0, "tx": 673.0091854822464, "ty": 398.0964382521175 } }, { "piece_id": "small_tri_2", "color": [ 147, 94, 54 ], "vertices": [ [ 0.0, 0.0 ], [ 56.5685, 0.0 ], [ 0.0, 56.5685 ] ], "start_pose": { "reflect": false, "rot_deg": 180.0, "tx": 277.07289455846666, "ty": 273.17112550636506 } } ], "target_silhouette": [ [ [ 336.0, 260.0 ], [ 296.0, 300.0 ], [ 336.0, 340.0 ], [ 376.0, 380.0 ], [ 376.0, 300.0 ], [ 416.0, 340.0 ], [ 496.0, 340.0 ], [ 536.0, 300.0 ], [ 456.0, 300.0 ], [ 496.0, 260.0 ], [ 416.0, 260.0 ], [ 416.0, 180.0 ], [ 376.0, 140.0 ], [ 416.0, 100.0 ], [ 336.0, 100.0 ], [ 336.0, 260.0 ] ] ] }