{
  "id": "1505.03248",
  "version": "v1",
  "published": "2015-05-13T05:10:13.000Z",
  "updated": "2015-05-13T05:10:13.000Z",
  "title": "On 3 and 4 dimensional regular solids, Part 1: The 4-simplex generates the free group",
  "authors": [
    "Adrian Ocneanu"
  ],
  "categories": [
    "math.RT",
    "math.GR"
  ],
  "abstract": "We show that, when the vertices $q_i, i=0,...,4$ of the 4 simplex, or 5-cell, viewed as unit quaternions, are arranged so that $q_0=1$, the remaining 4 vertices generate the free group with 4 generators $\\mathbb F_4$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-13T05:10:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dimensional regular solids",
      "free group",
      "unit quaternions",
      "vertices generate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150503248O"
    }
  }
}