| {
|
| "track": "temporal",
|
| "n_samples": 1800,
|
| "n_points": 512,
|
| "n_frames": 16,
|
| "seed": 1,
|
| "class_balance": {
|
| "native_3d": 700,
|
| "projected_nd": 1100
|
| },
|
| "samples": [
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "clifford_torus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypercube_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cube_surface",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "torus",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypersphere_5d",
|
| "ambient_dim": 5,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "trefoil_tube",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ellipsoid",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hypertorus_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hypertorus_5d",
|
| "ambient_dim": 5,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "sphere",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "duocylinder_ridge_4d",
|
| "ambient_dim": 4,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "hyperball_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "cylinder",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "random_manifold_6d",
|
| "ambient_dim": 6,
|
| "tier": 1
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "tesseract_4d",
|
| "ambient_dim": 4,
|
| "tier": 0
|
| },
|
| {
|
| "shape": "ball",
|
| "ambient_dim": 3,
|
| "tier": 1
|
| }
|
| ]
|
| } |
