{
  "id": "2209.05940",
  "version": "v1",
  "published": "2022-09-13T12:37:58.000Z",
  "updated": "2022-09-13T12:37:58.000Z",
  "title": "Some extremal problems for polygons in the Euclidean plane",
  "authors": [
    "Yu. G. Nikonorov",
    "O. Yu. Nikonorova"
  ],
  "comment": "18 pages, 15 pictures. Comments are welcome!",
  "categories": [
    "math.MG"
  ],
  "abstract": "The paper is devoted to some extremal problems, related to convex polygons in the Euclidean plane and their perimeters. We present a number of results that have simple statements and rather intricate proofs. Related and yet unsolved problems are discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-09-13T12:37:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52A10",
      "52A40",
      "52B60"
    ],
    "keywords": [
      "euclidean plane",
      "extremal problems",
      "convex polygons",
      "simple statements"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}