{
  "abstract": "FINDING: Babylonian sexagesimal arithmetic provides a natural rational parametrization of the unit circle via the standard stereographic projection formula, and base-60 divisibility (60 = 2²·3·5) makes the resulting rational points especially tractable.\n\nMATH: - Rational parametrization of unit circle: for t ∈ ℚ, (x, y) = ((1 − t²)/(1 + t²), 2t/(1 + t²)) - Equivalent Pythagorean triple generator: (a, b, c) = (m² − n², 2mn, m² + n²), m, n ∈ ℤ - Sexagesimal base: 60 = 2² · 3 · 5; divisors {1,2,3,4,5,6,10,12,15,20,30,60} - Plimpton 322 (OB, ~1800 BCE): 15 rows of (short side, diagonal) pairs; e.g. (119, 169), (3367, 4825), (4601, 6649) — all satisfy a² + b² = c² with b, c sexagesimally regular - Circle–sexagesimal link (arXiv 0707.0676): 360° = 6 · 60; regular hexagon inscribed in circle gives chord = radius, so 6 chords close the circle exactly — the geometric origin of base-60 angle division - 12 months, 24 hours, 60 minutes all derive from 6 · 60 = 360 and 2 · 12 = 24\n\nCONNECTION: - Ba\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/1w541fyfmhckq.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23658640",
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  "id": "1w541fyfmhckq",
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  "landing_url": "https://zenodo.org/records/23658640",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
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  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
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  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1w541fyfmhckq.ris",
  "sources": [
    {
      "first_seen": "2026-11-09T12:21:33Z",
      "native_id": "23658640",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23658640"
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  "subjects": [],
  "title": "Sexagesimal Rational Parametrization of the Unit Circle — E8 Intelligence Research",
  "title_text": "Sexagesimal Rational Parametrization of the Unit Circle — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-09T12:21:33Z",
  "url": "https://research.draconitic.com/paper/1w541fyfmhckq",
  "venue": "Zenodo",
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}