{
  "abstract": "FINDING: Babylonian reciprocal-table construction method is clarified via a recursive, base-60 factorization algorithm, not brute-force enumeration. | MATH: For reciprocal \\(n \\mapsto 1/n\\) in sexagesimal, tables were built using \\(n = a \\cdot 60^k + b\\), with reciprocals derived from \\(1/(a \\cdot 60^k) \\cdot (1 + b/(a \\cdot 60^k))^{-1}\\) — exploiting the geometric series \\(1/(1+x) = 1 - x + x^2 - \\dots\\) truncated to finite sexagesimal precision. The paper (arXiv:1401.0065) shows the construction reduces to factoring regular numbers (those with only 2, 3, 5 as prime factors) into pairs \\((p, q)\\) such that \\(p \\cdot q = 60^k\\), using the identity \\(1/p = q / 60^k\\). | CONNECTION: **Base-60 is the direct ancestor of our 360° circle and 60-minute hour** — the sexagesimal system encodes the harmonic ratios 1/2, 1/3, 1/4, 1/5, 1/6 as terminating fractions, which are precisely the divisors of 60. The reciprocal pairs \\((p, q)\\) form a **lattice structure** in the 3-dimensional space of pri\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/9c57jrpwm4per.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23658232",
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  "id": "9c57jrpwm4per",
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  "landing_url": "https://zenodo.org/records/23658232",
  "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/",
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  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9c57jrpwm4per.ris",
  "sources": [
    {
      "first_seen": "2026-11-09T12:21:38Z",
      "native_id": "23658232",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23658232"
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  ],
  "subjects": [],
  "title": "Babylonian Reciprocal Tables Built via Recursive Base-60 Factorization, Not Enumeration — E8 Intelligence Research",
  "title_text": "Babylonian Reciprocal Tables Built via Recursive Base-60 Factorization, Not Enumeration — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-09T12:21:38Z",
  "url": "https://research.draconitic.com/paper/9c57jrpwm4per",
  "venue": "Zenodo",
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}