{
  "abstract": "FINDING: Plimpton 322 encodes Pythagorean triples generated by a rational parametrization of the unit circle, likely via reciprocal pairs (x, 1/x) in base‑60, not a modern trigonometric table. MATH: - Standard parametrization: \\( x = \\frac{2t}{1+t^2}, \\; y = \\frac{1-t^2}{1+t^2} \\) for \\( t \\in \\mathbb{Q} \\). - Plimpton 322 columns correspond to \\( \\frac{b^2}{d^2} = 1 - \\left(\\frac{a}{d}\\right)^2 \\) with \\( a^2 + b^2 = d^2 \\). - Proposed algorithm (arXiv:2001.11141): \\( b = M \\cdot Q_M \\), with \\( M, Q_M \\in \\mathbb{Z}^+ \\), generating all rows via factor pairs — equivalent to choosing \\( t = \\frac{p}{q} \\) with \\( p, q \\) from sexagesimal regular numbers (2,3,5‑smooth). - Base‑60 constants: reciprocals of regular numbers (e.g., 1/60, 1/30, 1/20, 1/15, 1/12, 1/10) yield exact finite sexagesimal expansions — the key constraint.\n\nCONNECTION: - The rational parametrization \\( t \\mapsto \\left(\\frac{2t}{1+t^2}, \\frac{1-t^2}{1+t^2}\\right) \\) is the stereographic projection from\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"
    }
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  "bibtex": "https://research.draconitic.com/paper/e8rebydp82rhq.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23635289",
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  "id": "e8rebydp82rhq",
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  "landing_url": "https://zenodo.org/records/23635289",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
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  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/e8rebydp82rhq.ris",
  "sources": [
    {
      "first_seen": "2026-11-08T12:21:56Z",
      "native_id": "23635289",
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  "title": "Plimpton 322 as Reciprocal Pairs, Not Trigonometry — E8 Intelligence Research",
  "title_text": "Plimpton 322 as Reciprocal Pairs, Not Trigonometry — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-08T12:21:56Z",
  "url": "https://research.draconitic.com/paper/e8rebydp82rhq",
  "venue": "Zenodo",
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