Specification: Simplicial Complexes

Profiles: OSCAR v1.0, OSCAR v1.1, OSCAR v1.2, OSCAR v1.3, OSCAR v1.4, OSCAR v1.5, OSCAR v1.6, OSCAR v1.7, OSCAR v1.8

SimplicialComplex is currently documented in the OSCAR v1.7 profile through the rosetta-stone corpus. This page records the present encoding shape and should be read as a profile-specific type description.

Encoding Notes

• Set _type to "SimplicialComplex" when this type appears at the root of a serialized object.
• Interpret the payload under data according to the active namespace and profile version.
• Follow the linked examples for the currently documented payload shape and referenced ambient objects.

Canonical Example Payload

The following payload is taken directly from the current rosetta-stone corpus.

{
  "_ns": {"Oscar": ["https://github.com/oscar-system/Oscar.jl", "1.7.0"]},
  "_type": "SimplicialComplex",
  "data": {
    "CLOSED_PSEUDO_MANIFOLD": true,
    "_ns": {"polymake": ["https://polymake.org", "4.15"]},
    "ORIENTED_PSEUDO_MANIFOLD": true,
    "MANIFOLD": true,
    "_info": {"description": "Complex projective plane on nine vertices.\n"},
    "_type": "topaz::SimplicialComplex",
    "DIM": 4,
    "FACETS": [
      [0, 1, 2, 3, 4],
      [0, 1, 2, 3, 6],
      [0, 1, 2, 4, 7],
      [0, 1, 2, 6, 7],
      [0, 1, 3, 4, 5],
      [0, 1, 3, 5, 6],
      [0, 1, 4, 5, 7],
      [0, 1, 5, 6, 8],
      [0, 1, 5, 7, 8],
      [0, 1, 6, 7, 8],
      [0, 2, 3, 4, 8],
      [0, 2, 3, 6, 7],
      [0, 2, 3, 7, 8],
      [0, 2, 4, 5, 7],
      [0, 2, 4, 5, 8],
      [0, 2, 5, 7, 8],
      [0, 3, 4, 5, 6],
      [0, 3, 4, 6, 8],
      [0, 3, 6, 7, 8],
      [0, 4, 5, 6, 8],
      [1, 2, 3, 4, 8],
      [1, 2, 3, 5, 6],
      [1, 2, 3, 5, 8],
      [1, 2, 4, 6, 7],
      [1, 2, 4, 6, 8],
      [1, 2, 5, 6, 8],
      [1, 3, 4, 5, 7],
      [1, 3, 4, 7, 8],
      [1, 3, 5, 7, 8],
      [1, 4, 6, 7, 8],
      [2, 3, 5, 6, 7],
      [2, 3, 5, 7, 8],
      [2, 4, 5, 6, 7],
      [2, 4, 5, 6, 8],
      [3, 4, 5, 6, 7],
      [3, 4, 6, 7, 8]
    ]
  }
}

Documented Profiles in This Corpus

This table records the profile/version pairs currently represented by the rosetta-stone examples for this data type. Add new rows as new systems or encoding revisions are documented.

Rosetta Stone Examples

• Complex projective plane