{
  "id": "2411.19826",
  "version": "v1",
  "published": "2024-11-29T16:37:23.000Z",
  "updated": "2024-11-29T16:37:23.000Z",
  "title": "Optimality of Gerver's Sofa",
  "authors": [
    "Jineon Baek"
  ],
  "comment": "119 pages, 21 figures",
  "categories": [
    "math.MG",
    "math.CO",
    "math.OC"
  ],
  "abstract": "We resolve the moving sofa problem by showing that Gerver's construction with 18 curve sections attains the maximum area $2.2195\\cdots$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-11-29T16:37:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49Q10",
      "49K15",
      "52A10",
      "52A41",
      "90C26"
    ],
    "keywords": [
      "gervers sofa",
      "optimality",
      "curve sections attains",
      "maximum area"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 119,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}