{
  "id": "math/9601202",
  "version": "v1",
  "published": "1996-01-12T00:00:00.000Z",
  "updated": "1996-01-12T00:00:00.000Z",
  "title": "Subgroups of SO(3) Associated with Tilings",
  "authors": [
    "Charles Radin",
    "Lorenzo Sadun"
  ],
  "comment": "Plain TeX; 20 pages of text plus 4 postscript figures",
  "categories": [
    "math.GR",
    "math.MG"
  ],
  "abstract": "We give a thorough analysis of those subgroups of SO(3) generated by rotations about perpendicular axes by 2\\pi/p and 2\\pi/q. A corollary is that such a group is the free product of the cyclic groups of rotations about the separate axes if and only if p,q\\ge 3 and are both odd. These groups are naturally associated with a family of hierarchical tilings of Euclidean 3-space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1996-01-12T00:00:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "51F25",
      "52C22"
    ],
    "keywords": [
      "free product",
      "thorough analysis",
      "separate axes",
      "perpendicular axes"
    ],
    "note": {
      "typesetting": "Plain TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1996math......1202R"
    }
  }
}