{
  "id": "1211.2944",
  "version": "v2",
  "published": "2012-11-13T10:24:35.000Z",
  "updated": "2012-11-14T23:48:55.000Z",
  "title": "On the optimality of the ideal right-angled 24-cell",
  "authors": [
    "Alexander Kolpakov"
  ],
  "comment": "24 pages, 22 figures, minor corrections",
  "journal": "Algebraic & Geometric Topology 12 (2012) 1941-1960",
  "doi": "10.2140/agt.2012.12.1941",
  "categories": [
    "math.MG",
    "math.CO",
    "math.GT"
  ],
  "abstract": "We prove that among four-dimensional ideal right-angled hyperbolic polytopes the 24-cell is of minimal volume and of minimal facet number. As a corollary, a dimension bound for ideal right-angled hyperbolic polytopes is obtained.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-11-14T23:48:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F55",
      "52B11",
      "51M20"
    ],
    "keywords": [
      "four-dimensional ideal right-angled hyperbolic polytopes",
      "optimality",
      "minimal facet number",
      "dimension bound",
      "minimal volume"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.2944K"
    }
  }
}