{
  "id": "1307.7007",
  "version": "v2",
  "published": "2013-07-26T11:58:17.000Z",
  "updated": "2014-04-04T23:21:36.000Z",
  "title": "Chiral extensions of chiral polytopes",
  "authors": [
    "Gabe Cunningham",
    "Daniel Pellicer"
  ],
  "comment": "21 pages. [v2] includes several minor revisions for clarity",
  "categories": [
    "math.CO"
  ],
  "abstract": "Given a chiral d-polytope K with regular facets, we describe a construction for a chiral (d + 1)-polytope P with facets isomorphic to K. Furthermore, P is finite whenever K is finite. We provide explicit examples of chiral 4-polytopes constructed in this way from chiral toroidal maps.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-04-04T23:21:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "chiral polytopes",
      "chiral extensions",
      "chiral toroidal maps",
      "facets isomorphic",
      "regular facets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.7007C"
    }
  }
}