{
  "id": "1608.07247",
  "version": "v1",
  "published": "2016-08-25T18:45:56.000Z",
  "updated": "2016-08-25T18:45:56.000Z",
  "title": "Minimal number of points on a grid forming patterns of blocks",
  "authors": [
    "Chai Wah Wu"
  ],
  "comment": "8 pages, 4 figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "We consider the minimal number of points on a regular grid on the plane that generates n blocks of points of exactly length k and show that this number is upper bounded by kn/3 and approaches kn/4 as $n\\rightarrow\\infty$ when k+1 is coprime with 6 or when k is large.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-25T18:45:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05Bxx"
    ],
    "keywords": [
      "grid forming patterns",
      "minimal number",
      "regular grid",
      "approaches",
      "exactly length"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}