{ "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 ], [ 113.137, 0.0 ], [ 0.0, 113.137 ] ], "start_pose": { "reflect": false, "rot_deg": 270.0, "tx": 47.3675534805944, "ty": 377.3122480958069 } }, { "piece_id": "large_tri_2", "color": [ 164, 75, 64 ], "vertices": [ [ 0.0, 0.0 ], [ 113.137, 0.0 ], [ 0.0, 113.137 ] ], "start_pose": { "reflect": false, "rot_deg": 135.0, "tx": 236.11230323878476, "ty": 212.1219923791075 } }, { "piece_id": "medium_tri", "color": [ 70, 111, 93 ], "vertices": [ [ 0.0, 0.0 ], [ 80.0, 0.0 ], [ 0.0, 80.0 ] ], "start_pose": { "reflect": false, "rot_deg": 0.0, "tx": 706.2760830796344, "ty": 131.67994564155302 } }, { "piece_id": "square", "color": [ 147, 94, 54 ], "vertices": [ [ 0.0, 0.0 ], [ 56.5685, 0.0 ], [ 56.5685, 56.5685 ], [ 0.0, 56.5685 ] ], "start_pose": { "reflect": false, "rot_deg": 45.0, "tx": 659.273528016606, "ty": 378.947889727738 } }, { "piece_id": "parallelogram", "color": [ 64, 139, 151 ], "vertices": [ [ 0.0, 0.0 ], [ 56.5685, 0.0 ], [ 113.137, 56.5685 ], [ 56.5685, 56.5685 ] ], "start_pose": { "reflect": false, "rot_deg": 315.0, "tx": 216.1963947362858, "ty": 168.90571978271197 } }, { "piece_id": "small_tri_1", "color": [ 177, 119, 48 ], "vertices": [ [ 0.0, 0.0 ], [ 56.5685, 0.0 ], [ 0.0, 56.5685 ] ], "start_pose": { "reflect": false, "rot_deg": 225.0, "tx": 146.3741976708361, "ty": 354.2103671775438 } }, { "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": 45.0, "tx": 224.95721613371336, "ty": 382.64036742703746 } } ], "target_silhouette": [ [ [ 336.0, 300.0 ], [ 296.0, 340.0 ], [ 376.0, 340.0 ], [ 416.0, 379.9999 ], [ 456.0, 340.0 ], [ 496.0, 380.0 ], [ 496.0, 300.0 ], [ 536.0, 260.0 ], [ 456.0, 260.0 ], [ 456.0, 180.0 ], [ 376.0, 100.0 ], [ 376.0, 260.0 ], [ 336.0, 300.0 ] ] ] }