{
  "abstract": "Plimpton 322 is not a random list of Pythagorean triples but a systematic enumeration of rational points on the unit circle, generated by reciprocal pairs of regular sexagesimal numbers.\n\nFor the working scientist, this touches a deeper question: did an ancient culture encode a group-theoretic structure, the arithmetic of Gaussian integers restricted to primes two, three, and five, without leaving us a proof? The tablet's fifteen rows, with diagonals that are all regular sexagesimal integers, suggest they were not merely computing but sampling a lattice.\n\nHere is the mechanism. Every rational point on the unit circle can be written as x equals two p q over p squared plus q squared, and y equals p squared minus q squared over p squared plus q squared. For p and q regular in base sixty, meaning their prime factors are only two, three, and five, these coordinates are rational and the diagonal, p squared plus q squared, is itself regular. The tablet's entries correspond to specific p o\n\nAuthor: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com",
  "abstract_shown": true,
  "affiliations": [
    "Independent Researcher, United Kingdom"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Andrew Stewart Caldin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c3kb4548asamj.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23447144",
  "fulltext_url": null,
  "id": "c3kb4548asamj",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23447144",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [],
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  "pmcid": null,
  "pmid": null,
  "published": "2026-10-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/c3kb4548asamj.ris",
  "sources": [
    {
      "first_seen": "2026-11-01T12:21:45Z",
      "native_id": "23447144",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23447144"
    }
  ],
  "subjects": [],
  "title": "MERLIN SCIENCE — Plimpton 322 as a Sexagesimal Lattice of Rational Points on the Unit C — E8 Intelligence Research",
  "title_text": "MERLIN SCIENCE — Plimpton 322 as a Sexagesimal Lattice of Rational Points on the Unit C — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-01T12:21:45Z",
  "url": "https://research.draconitic.com/paper/c3kb4548asamj",
  "venue": "Zenodo",
  "versions": []
}