{
  "abstract": "FINDING: Plimpton 322 encodes a systematic sequence of regular sexagesimal ratios (p/q) generating Pythagorean triples, with a reconstruction algorithm that accounts for \"missing pairs\" via a natural modification of Bruins' method. | MATH: The tablet lists 15 rows of (sexagesimal) values corresponding to triples (a, b, c) with a² + b² = c². Reconstruction uses regular numbers p, q in base 60 (i.e., p, q whose prime factors are only 2, 3, 5) to form ratios p/q. The standard parametrization: a = p² − q², b = 2pq, c = p² + q² (or scaled variants). Bruins' scheme: choose p, q from a regular sexagesimal grid; the \"missing pairs\" arise from gaps in the sequence where p/q falls outside the tablet's chosen interval (likely 1 < p/q < 1.5, with decreasing q). The arXiv paper (1109.3814v2) proposes a modified rule that predicts subsequent rows beyond row 15, implying a continuous, ordered algorithm — likely iterating p, q via multiplication by regular factors (e.g., 2, 3, 5) to maintain constant\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/0z1wgg1hazwd1.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23658281",
  "fulltext_url": null,
  "id": "0z1wgg1hazwd1",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23658281",
  "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": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0z1wgg1hazwd1.ris",
  "sources": [
    {
      "first_seen": "2026-11-09T12:21:37Z",
      "native_id": "23658281",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23658281"
    }
  ],
  "subjects": [],
  "title": "Plimpton 322's Sexagesimal Ratios: A Reconstruction Algorithm for Missing Pairs — E8 Intelligence Research",
  "title_text": "Plimpton 322's Sexagesimal Ratios: A Reconstruction Algorithm for Missing Pairs — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-09T12:21:37Z",
  "url": "https://research.draconitic.com/paper/0z1wgg1hazwd1",
  "venue": "Zenodo",
  "versions": []
}