{
  "id": "1405.4795",
  "version": "v1",
  "published": "2014-05-16T09:59:07.000Z",
  "updated": "2014-05-16T09:59:07.000Z",
  "title": "Trisections of a 3-rotationally symmetric planar convex body minimizing the maximum relative diameter",
  "authors": [
    "Antonio Cañete",
    "Cinzia Miori",
    "Salvador Segura Gomis"
  ],
  "comment": "Preliminary version, 20 pages, 15 figures",
  "categories": [
    "math.MG"
  ],
  "abstract": "In this work we study the fencing problem consisting of finnding a trisection of a 3-rotationally symmetric planar convex body which minimizes the maximum relative diameter. We prove that an optimal solution is given by the so-called standard trisection. We also determine the optimal set giving the minimum value for this functional and study the corresponding universal lower bound.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-05-16T09:59:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "symmetric planar convex body minimizing",
      "maximum relative diameter",
      "trisection",
      "corresponding universal lower bound",
      "minimum value"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1405.4795C"
    }
  }
}