{
  "id": "2210.09971",
  "version": "v1",
  "published": "2022-10-18T16:31:41.000Z",
  "updated": "2022-10-18T16:31:41.000Z",
  "title": "Gromov-Hausdorff distance between vertex sets of regular polygons inscribed in a given circle",
  "authors": [
    "Talant Talipov"
  ],
  "comment": "7 pages, 0 figures, submitted to Moscow University Mathematics Bulletin",
  "categories": [
    "math.MG",
    "math.CO"
  ],
  "abstract": "We calculate the Gromov-Hausdorff distance between vertex sets of regular polygons endowed with the round metric. We give a full answer for the case of n- and m-gons with m divisible by n. Also, we calculate all distances to 2-gons and 3-gons",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-18T16:31:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "51F99"
    ],
    "keywords": [
      "vertex sets",
      "regular polygons",
      "gromov-hausdorff distance",
      "round metric"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}