{
  "abstract": "FINDING: Plimpton 322 is a sexagesimal table of regular reciprocal pairs (p, q) generating Pythagorean triples, with a reconstruction algorithm that predicts missing rows and reveals a systematic sequence of ratios. | MATH: Pythagorean triples (a, b, d) with a² + b² = d²; sexagesimal (base-60) regular numbers p, q (i.e., p, q with prime factors only 2, 3, 5); generating formula: a = p² − q², b = 2pq, d = p² + q² (or variants with scaling); Bruins' scheme uses p/q from reciprocal pairs; the \"factor 12\" algorithm proposes b = M·Q_M, with M, Q_M integers, yielding a data-driven family of algorithms. The tablet lists 15 rows, with ratios like (d/a)² or (b/d)² forming a decreasing sequence of squared secants/tangents. | CONNECTION: The ratios in Plimpton 322 are not the golden ratio directly, but the underlying structure is base-60 — the same sexagesimal system that makes 0.618, 0.786, 1.618 expressible as exact finite sexagesimal fractions (e.g., 0.618 = 37;04,48 in base-60; 0.786 = 47;09,\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/3tx81srxzh7cc.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23658205",
  "fulltext_url": null,
  "id": "3tx81srxzh7cc",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23658205",
  "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": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3tx81srxzh7cc.ris",
  "sources": [
    {
      "first_seen": "2026-11-09T12:21:38Z",
      "native_id": "23658205",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23658205"
    }
  ],
  "subjects": [],
  "title": "Plimpton 322 Decoded: A Sexagesimal Table of Regular Reciprocal Pairs Generating Pythagorean Triples — E8 Intelligence Research",
  "title_text": "Plimpton 322 Decoded: A Sexagesimal Table of Regular Reciprocal Pairs Generating Pythagorean Triples — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-09T12:21:38Z",
  "url": "https://research.draconitic.com/paper/3tx81srxzh7cc",
  "venue": "Zenodo",
  "versions": []
}