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   "ambient_dim": 4,
   "tier": 2,
   "projection": "perspective"
  },
  {
   "shape": "torus",
   "ambient_dim": 3,
   "tier": 3,
   "projection": "none"
  },
  {
   "shape": "random_manifold_6d",
   "ambient_dim": 6,
   "tier": 3,
   "projection": "orthographic"
  },
  {
   "shape": "hypertorus_5d",
   "ambient_dim": 5,
   "tier": 3,
   "projection": "orthographic"
  },
  {
   "shape": "clifford_torus_4d",
   "ambient_dim": 4,
   "tier": 3,
   "projection": "perspective"
  },
  {
   "shape": "sphere",
   "ambient_dim": 3,
   "tier": 2,
   "projection": "none"
  },
  {
   "shape": "random_manifold_6d",
   "ambient_dim": 6,
   "tier": 2,
   "projection": "perspective"
  },
  {
   "shape": "trefoil_tube",
   "ambient_dim": 3,
   "tier": 1,
   "projection": "none"
  },
  {
   "shape": "clifford_torus_4d",
   "ambient_dim": 4,
   "tier": 0,
   "projection": "orthographic"
  },
  {
   "shape": "hypercube_5d",
   "ambient_dim": 5,
   "tier": 2,
   "projection": "perspective"
  }
 ]
}