{
  "abstract": "FINDING: Plimpton 322 encodes a systematic sequence of Pythagorean triples derived from reciprocal pairs in base-60, reconstructing slopes from ~45° down to ~30° with exact sexagesimal ratios.\n\nMATH: - Tablet lists 15 rows of (a, b, d) with a² + b² = d². - Bruins' reconstruction: generate triples from (x, y) = (p/q, q/p) via standard parameterization: a = 2xy, b = x² − y², d = x² + y² (or scaled variants). - In base-60, the slope tangent t = a/b (or b/a) decreases from t = 1 (45°) to t ≈ 0.577 (30°) — the sequence of t values are regular sexagesimal fractions (e.g., 1, 0.8, 0.666…, 0.5714…, 0.5, …). - The \"missing pairs\" in Bruins' scheme are filled by a natural extension: the generating pairs (p, q) follow a regular grid in the sexagesimal unit fractions, yielding exactly 15 entries that terminate near t = 1/√3. - Key constant: √3 ≈ 1.7320508… appears implicitly as the boundary slope (30°), and the tablet's last row has d² = 1 + (1/√3)² in normalized form. - The \"Alg\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/99w4g1srtcqfd.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23465024",
  "fulltext_url": null,
  "id": "99w4g1srtcqfd",
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  "landing_url": "https://zenodo.org/records/23465024",
  "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,
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  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/99w4g1srtcqfd.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:49Z",
      "native_id": "23465024",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23465024"
    }
  ],
  "subjects": [],
  "title": "Babylonian Tablet Plimpton 322: Exact Sexagesimal Pythagorean Triples from 45° to 30° — E8 Intelligence Research",
  "title_text": "Babylonian Tablet Plimpton 322: Exact Sexagesimal Pythagorean Triples from 45° to 30° — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-02T12:21:49Z",
  "url": "https://research.draconitic.com/paper/99w4g1srtcqfd",
  "venue": "Zenodo",
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}