{
  "annotation_id": "f8ab210d-90c5-4cc8-ae06-f6f06785875d",
  "date_created": "2026-03-02T18:02:51.159000Z",
  "date_modified": "2026-03-02T18:02:51.159000Z",
  "file_hash": "7542058c84b4046191e4c666d16dbe1efefa175cfd3fae48a86ff59253180bf4",
  "private": false,
  "record": {
    "abstract": "We present a detailed calculation of the recently published exact solution of\na random tiling model possessing an eight-fold symmetric phase. The solution is\nobtained using Bethe Ansatz and provides closed expressions for the entropy and\nphason elastic constants. Qualitatively, this model has the same features as\nthe square-triangle random tiling model. We use the method of P. Kalugin, who\nsolved the Bethe Ansatz equations for the square-triangle tiling, which were\nfound by M. Widom.",
    "arxiv_id": "solv-int/9610009",
    "authors": [
      "Jan de Gier",
      "Bernard Nienhuis"
    ],
    "categories": [
      "solv-int",
      "cond-mat",
      "nlin.SI"
    ],
    "doi": "10.1007/BF02181494",
    "journal_ref": "J. Stat. Phys. 87 (1997) 415-437",
    "title": "The exact solution of an octagonal rectangle triangle random tiling",
    "url": "https://arxiv.org/abs/solv-int/9610009"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1a800f82-8678-4b4c-9820-77e6906084f1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}