{
  "id": "1512.01412",
  "version": "v1",
  "published": "2015-12-04T14:07:39.000Z",
  "updated": "2015-12-04T14:07:39.000Z",
  "title": "Digit sequences of rational billiards on tables which tile $\\mathbb{R}^2$",
  "authors": [
    "Corey Manack",
    "Marko Savic"
  ],
  "comment": "Draft version",
  "categories": [
    "math.DS"
  ],
  "abstract": "We classify the periodic digit strings which arise from periodic billiard orbits on the four convex $n$-gons $\\Delta$ which tile $\\mathbb{R}^2$ under reflection, answering problem a posed by Baxter and Umble. $\\Delta$ is either an equilateral triangle, a $45-45-90$ triangle a $30-60-90$, triangle or a rectangle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-04T14:07:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E35"
    ],
    "keywords": [
      "rational billiards",
      "digit sequences",
      "periodic billiard orbits",
      "periodic digit strings",
      "equilateral triangle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}