{
  "abstract": "FINDING: Plimpton 322 is not a random list of Pythagorean triples but a systematic, sexagesimal-optimized table of exact squared-secant (or cotangent) values generated by a regular-number algorithm, with Bruins' reconstruction corrected to reveal a natural \"missing pairs\" structure.\n\nMATH: - Core generation: For regular numbers \\(p, q\\) (sexagesimal reciprocals), set \\(b = p^2 - q^2\\), \\(d = p^2 + q^2\\), \\(a = 2pq\\) (or variant with \\(b = M Q_M\\)). - Bruins' scheme: \\(d^2/b^2 = 1 + (a/b)^2\\) → table lists \\( (d/b)^2 \\) values as sexagesimal reciprocals of regular numbers. - New correction (arXiv:1109.3814): Missing pairs correspond to \\(p,q\\) where \\(p/q\\) yields ratios outside the tablet's chosen interval \\(1 < d/b < 1.5\\) (or equivalent), giving a complete, gap-free sequence under a single rule. - Factor-12 algorithm (arXiv:2001.11141): \\(b = M Q_M\\) with \\(Q_M\\) derived from \\(M\\)'s sexagesimal factorization; generates all 15 rows exactly. - Trigonometric function value\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/fvqdrf32x2dg5.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23447065",
  "fulltext_url": null,
  "id": "fvqdrf32x2dg5",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23447065",
  "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": [],
  "openalex": null,
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fvqdrf32x2dg5.ris",
  "sources": [
    {
      "first_seen": "2026-11-01T12:21:48Z",
      "native_id": "23447065",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23447065"
    }
  ],
  "subjects": [],
  "title": "Plimpton 322 Decoded: A Sexagesimal-Optimized Table of Squared Secants — E8 Intelligence Research",
  "title_text": "Plimpton 322 Decoded: A Sexagesimal-Optimized Table of Squared Secants — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-01T12:21:48Z",
  "url": "https://research.draconitic.com/paper/fvqdrf32x2dg5",
  "venue": "Zenodo",
  "versions": []
}