{ "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": [ 64, 139, 151 ], "vertices": [ [ 0.0, 0.0 ], [ 140.0, 0.0 ], [ 0.0, 140.0 ] ], "start_pose": { "reflect": false, "rot_deg": 45.0, "tx": 323.2792121694636, "ty": 361.6416413048212 } }, { "piece_id": "large_tri_2", "color": [ 164, 75, 64 ], "vertices": [ [ 0.0, 0.0 ], [ 140.0, 0.0 ], [ 0.0, 140.0 ] ], "start_pose": { "reflect": false, "rot_deg": 225.0, "tx": 194.74397147532892, "ty": 169.4039580423909 } }, { "piece_id": "medium_tri", "color": [ 177, 119, 48 ], "vertices": [ [ 0.0, 0.0 ], [ 98.9949, 0.0 ], [ 0.0, 98.9949 ] ], "start_pose": { "reflect": false, "rot_deg": 180.0, "tx": 801.0433290689458, "ty": 395.09599810410236 } }, { "piece_id": "square", "color": [ 66, 72, 155 ], "vertices": [ [ 0.0, 0.0 ], [ 70.0, 0.0 ], [ 70.0, 70.0 ], [ 0.0, 70.0 ] ], "start_pose": { "reflect": false, "rot_deg": 315.0, "tx": 635.4077838040329, "ty": 283.76094059640366 } }, { "piece_id": "parallelogram", "color": [ 70, 111, 93 ], "vertices": [ [ 0.0, 0.0 ], [ 70.0, 0.0 ], [ 140.0, 70.0 ], [ 70.0, 70.0 ] ], "start_pose": { "reflect": true, "rot_deg": 135.0, "tx": 71.63897871343792, "ty": 356.9354707336175 } }, { "piece_id": "small_tri_1", "color": [ 147, 94, 54 ], "vertices": [ [ 0.0, 0.0 ], [ 70.0, 0.0 ], [ 0.0, 70.0 ] ], "start_pose": { "reflect": false, "rot_deg": 315.0, "tx": 727.2921262971043, "ty": 139.90837501876197 } }, { "piece_id": "small_tri_2", "color": [ 132, 53, 133 ], "vertices": [ [ 0.0, 0.0 ], [ 70.0, 0.0 ], [ 0.0, 70.0 ] ], "start_pose": { "reflect": false, "rot_deg": 225.0, "tx": 102.51238965426926, "ty": 439.2412531845572 } } ], "target_silhouette": [ [ [ 556.0, 100.0 ], [ 416.0, 240.0 ], [ 346.0, 170.0 ], [ 276.0, 170.0 ], [ 276.0, 240.0 ], [ 346.0, 310.0 ], [ 416.0, 310.0 ], [ 416.0, 380.0 ], [ 486.0, 310.0 ], [ 556.0, 380.0 ], [ 556.0, 240.0 ], [ 556.0, 100.0 ] ] ] }