{
  "abstract": "FINDING: Sumerian/Babylonian base-60 (sexagesimal) system encodes advanced trigonometry (Plimpton 322) and noncanonical integer expansions, revealing a modular arithmetic sophistication predating Greek mathematics. MATH: - Base-60 positional notation: \\(60^0, 60^1, 60^2, \\dots\\) with digits 0–59 (cuneiform wedge/chevron). - Plimpton 322: Pythagorean triples \\((a,b,c)\\) satisfying \\(a^2+b^2=c^2\\), expressed in sexagesimal — e.g., row 1: \\(b=1.59, c=2.49\\) (base-60) → \\(a=1.00\\) → triple (60, 119, 169). - Ratio \\(b^2/(c^2-b^2)\\) or \\(\\tan^2\\theta\\) values: rows yield \\(\\tan^2\\theta = 0.789, 0.405, 0.250, \\dots\\) — matching secant-squared intervals. - Noncanonical systems (arXiv:0804.2190): integer bases \\(b\\) with digit sets lacking 0 — finite expansions exist iff \\(b\\) is not a divisor of a certain cyclotomic polynomial value; connects to modular residues. CONNECTION: - **Base-60** directly links to **geometric harmony**: \\(60 = 2^2 \\cdot 3 \\cdot 5\\) — highly composite, en\n\nAuthor: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com",
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  "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/4fvt8d4ffp2b2.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23635246",
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  "id": "4fvt8d4ffp2b2",
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  "language": "eng",
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  "licence_label": "CC BY 4.0",
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  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4fvt8d4ffp2b2.ris",
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    {
      "first_seen": "2026-11-08T12:21:56Z",
      "native_id": "23635246",
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  "title": "Base-60 Cuneiform Reveals Advanced Babylonian Trigonometry and Modular Math — E8 Intelligence Research",
  "title_text": "Base-60 Cuneiform Reveals Advanced Babylonian Trigonometry and Modular Math — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-08T12:21:56Z",
  "url": "https://research.draconitic.com/paper/4fvt8d4ffp2b2",
  "venue": "Zenodo",
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}