{
  "id": "1408.6703",
  "version": "v1",
  "published": "2014-08-28T12:34:24.000Z",
  "updated": "2014-08-28T12:34:24.000Z",
  "title": "Classification of tight regular polyhedra",
  "authors": [
    "Gabe Cunningham",
    "Daniel Pellicer"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "A regular polyhedron of type {p, q} has at least 2pq flags, and it is called tight if it has exactly 2pq flags. The values of p and q for which there exist tight orientably regular polyhedra were previously known. We determine for which values of p and q there is a tight non-orientably regular polyhedron of type {p, q}. Furthermore, we completely classify tight regular polyhedra in terms of their automorphism groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-08-28T12:34:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "classification",
      "tight non-orientably regular polyhedron",
      "tight orientably regular polyhedra",
      "classify tight regular polyhedra",
      "exactly 2pq flags"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}