{
  "id": "1102.4220",
  "version": "v1",
  "published": "2011-02-21T13:39:34.000Z",
  "updated": "2011-02-21T13:39:34.000Z",
  "title": "Code & order in polygonal billiards",
  "authors": [
    "Jozef Bobok",
    "Serge Troubetzkoy"
  ],
  "journal": "Topology and its Applications 159, 1 (2012) 236-247",
  "doi": "10.1016/j.topol.2011.09.007",
  "categories": [
    "math.DS"
  ],
  "abstract": "Two polygons $P,Q$ are code equivalent if there are billiard orbits $u,v$ which hit the same sequence of sides and such that the projections of the orbits are dense in the boundaries $\\partial P, \\partial Q$. Our main results show when code equivalent polygons have the same angles, resp. are similar, resp. affinely similar.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-02-21T13:39:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "polygonal billiards",
      "code equivalent polygons",
      "main results",
      "billiard orbits",
      "boundaries"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1102.4220B"
    }
  }
}