{ "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 ], [ 140.0, 0.0 ], [ 0.0, 140.0 ] ], "start_pose": { "reflect": false, "rot_deg": 45.0, "tx": 211.22299353459863, "ty": 93.69873949957213 } }, { "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": 270.0, "tx": 40.772356621494865, "ty": 463.084416243933 } }, { "piece_id": "medium_tri", "color": [ 64, 139, 151 ], "vertices": [ [ 0.0, 0.0 ], [ 98.9949, 0.0 ], [ 0.0, 98.9949 ] ], "start_pose": { "reflect": false, "rot_deg": 225.0, "tx": 410.70899665537837, "ty": 112.49887305921692 } }, { "piece_id": "square", "color": [ 70, 111, 93 ], "vertices": [ [ 0.0, 0.0 ], [ 70.0, 0.0 ], [ 70.0, 70.0 ], [ 0.0, 70.0 ] ], "start_pose": { "reflect": false, "rot_deg": 225.0, "tx": 203.40794701455454, "ty": 452.043317345588 } }, { "piece_id": "parallelogram", "color": [ 177, 119, 48 ], "vertices": [ [ 0.0, 0.0 ], [ 70.0, 0.0 ], [ 140.0, 70.0 ], [ 70.0, 70.0 ] ], "start_pose": { "reflect": true, "rot_deg": 45.0, "tx": 626.0994237399998, "ty": 452.63839971847506 } }, { "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": 45.0, "tx": 713.856261293819, "ty": 393.82307328888453 } }, { "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": 180.0, "tx": 663.5938572936434, "ty": 212.63809813800646 } } ], "target_silhouette": [ [ [ 346.0, 240.0 ], [ 276.0, 310.0 ], [ 346.0, 380.0 ], [ 416.0, 380.0 ], [ 416.0, 310.0 ], [ 486.0, 240.0 ], [ 486.0, 310.0 ], [ 556.0, 310.0 ], [ 556.0, 240.0 ], [ 486.0, 170.0 ], [ 556.0, 170.0 ], [ 556.0, 100.0 ], [ 486.0, 100.0 ], [ 346.0, 240.0 ] ] ] }