{
  "id": "2404.00534",
  "version": "v1",
  "published": "2024-03-31T02:38:28.000Z",
  "updated": "2024-03-31T02:38:28.000Z",
  "title": "Aperiodic sets of three types of convex polygons",
  "authors": [
    "Teruhisa Sugimoto"
  ],
  "comment": "36 pages, 36 figures",
  "categories": [
    "math.MG"
  ],
  "abstract": "Sets of three types of convex pentagons that are aperiodic with no matching conditions on the edges are created from a chiral aperiodic monotile Tile(1, 1). This method divides the interior of Tile(1,1) into five convex polygons with five or more edges, and we have so far identified four methods.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-03-31T02:38:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B45",
      "52C20",
      "F.2.2"
    ],
    "keywords": [
      "convex polygons",
      "aperiodic sets",
      "method divides",
      "convex pentagons",
      "matching conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}