{
  "id": "math/0409468",
  "version": "v1",
  "published": "2004-09-24T03:25:38.000Z",
  "updated": "2004-09-24T03:25:38.000Z",
  "title": "Constructing All Magic Squares of Order Three",
  "authors": [
    "Guoce Xin"
  ],
  "comment": "7 pages",
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "We find by applying MacMahon's partition analysis that all magic squares of order three, up to rotations and reflections, are of two types, each generated by three basis elements. A combinatorial proof of this fact is given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-09-24T03:25:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15",
      "11P21"
    ],
    "keywords": [
      "magic squares",
      "applying macmahons partition analysis",
      "constructing",
      "basis elements",
      "combinatorial proof"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......9468X"
    }
  }
}