{
  "id": "2202.02551",
  "version": "v1",
  "published": "2022-02-05T13:27:34.000Z",
  "updated": "2022-02-05T13:27:34.000Z",
  "title": "Exploring the Dynamics of the Circumcenter Map",
  "authors": [
    "Ronaldo Garcia",
    "Nicholas McDonald",
    "Dan Reznik"
  ],
  "comment": "12 pages, 13 figures",
  "categories": [
    "math.DS",
    "cs.GR",
    "math.MG"
  ],
  "abstract": "We study properties of an $n$-times applied \"circumcenter map\", which sends an $n$-gon to a scaled and rotated copy of itself. Specifically, we explore the geometry of area-expanding and area-contracting regions of induced by this map.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-02-05T13:27:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "51N20",
      "37B20"
    ],
    "keywords": [
      "circumcenter map",
      "study properties",
      "rotated copy",
      "area-contracting regions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}