Specification: Polyhedra

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

Polyhedron 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 "Polyhedron" 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.

{
  "LP": [{"LINEAR_OBJECTIVE": ["0", "64449", "26552", "73367"], "_id": "unnamed#0"}],
  "_id": "data.json",
  "INEQUALITIES": [
    ["12", "31", "24", "78"],
    ["51", "63", "17", "35"],
    ["23", "99", "19", "34"],
    ["1", "0", "0", "0"]
  ],
  "_type": "polytope::Polytope<Rational>",
  "CONE_AMBIENT_DIM": 4,
  "_ns": {"polymake": ["https://polymake.org", "4.14"]}
}

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

• Algebraic cube
• Linear program
• Square polyhedron