{
  "id": "math/0511751",
  "version": "v2",
  "published": "2005-11-30T18:00:49.000Z",
  "updated": "2006-07-14T12:19:55.000Z",
  "title": "Constructions for 4-Polytopes and the Cone of Flag Vectors",
  "authors": [
    "Andreas Paffenholz",
    "Axel Werner"
  ],
  "comment": "20 pages, 18 figures; minor corrections and changes in notation, added reference",
  "categories": [
    "math.CO"
  ],
  "abstract": "We describe a construction for d-polytopes generalising the well known stacking operation. The construction is applied to produce 2-simplicial and 2-simple 4-polytopes with g_2=0 on any number of n >= 13 vertices. In particular, this implies that the ray l_1, described by Bayer (1987), is fully contained in the convex hull of all flag vectors of 4-polytopes. Especially interesting examples on 9, 10 and 11 vertices are presented.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-07-14T12:19:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52B05",
      "52B12"
    ],
    "keywords": [
      "flag vectors",
      "construction",
      "convex hull",
      "d-polytopes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....11751P"
    }
  }
}