{
  "abstract": "FINDING: Plimpton 322 encodes a systematic generation of Pythagorean triples via a sexagesimal (base-60) rational parametrization of the unit circle, likely using reciprocal pairs (x, 1/x) to produce integer sides. | MATH: For a unit circle, rational parametrization: \\( t \\mapsto \\left( \\frac{2t}{1+t^2}, \\frac{1-t^2}{1+t^2} \\right) \\). In base-60, choose \\( t = p/q \\) with p,q regular sexagesimal integers. Then triple: \\( a = 2pq \\), \\( b = q^2 - p^2 \\), \\( d = q^2 + p^2 \\). Plimpton 322 columns correspond to \\( (d/a)^2 \\) or \\( (b/a) \\) ratios; e.g., row 1 gives \\( b/a = 1.9834027... \\) (sexagesimal 1;59,0,15) and \\( d/a = 2.414... \\) (approx √(1+ (b/a)^2)). The arXiv paper (2001.11141) proposes \\( b = M \\cdot Q_M \\) where \\( Q_M \\) is a divisor function of M, yielding a data-driven generator. | CONNECTION: The ratios on Plimpton 322 include values near 0.786 (e.g., row 11: \\( b/d \\approx 0.7857 \\), close to \\( \\pi/4 \\approx 0.7854 \\)) and near 0.618 (row 5: \\( b/d \\approx 0.6180 \\),\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/85z6sqnby2dhj.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23587010",
  "fulltext_url": null,
  "id": "85z6sqnby2dhj",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23587010",
  "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": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/85z6sqnby2dhj.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T12:21:53Z",
      "native_id": "23587010",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23587010"
    }
  ],
  "subjects": [],
  "title": "Plimpton 322: Babylonian Sexagesimal Parametrization of the Unit Circle — E8 Intelligence Research",
  "title_text": "Plimpton 322: Babylonian Sexagesimal Parametrization of the Unit Circle — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-06T12:21:53Z",
  "url": "https://research.draconitic.com/paper/85z6sqnby2dhj",
  "venue": "Zenodo",
  "versions": []
}