Base-60 Celestial Geometry in MUL.APIN's Tripartite Sky — E8 Intelligence Research

FINDING: MUL.APIN encodes a tripartite celestial division (Anu/Enlil/Ea paths) with 60-day arc segments and a 360-day ideal year, implying base-60 angular quantization. | MATH: 360° = 6×60; each path spans ~120° (360°/3); star risings grouped in 30-day or 60-day intervals (2×30, 3×20, 6×10 — all divisors of 60); the catalogue lists ~66–71 stars (multiples of 6 and 11, near 72 = 360/5). No explicit equations survive, but the structural arithmetic is: 3 paths × 120° = 360°; 12 months × 30 days = 360 days; intercalary month corrects to 365.25 days. | CONNECTION: Strong base-60 (sexagesimal) foundation — the same system underlying 0.618 (golden ratio conjugate) via 1/φ ≈ 0.618 = 37/60 + 1/60² + ...; the 3-fold division mirrors trigonal symmetry (crystallographic point group 3m), and the 120° angles are the internal angles of a regular hexagon (6-fold rotational symmetry). The 360-day year is a harmonic integer multiple of 60, and the 30-day month is 0.5×60. | DEPTH: 6 — This is a genuine m Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-24
DOI
https://doi.org/10.5281/zenodo.22931071
Primary Topic
Stellar, planetary, and galactic studies
Type
preprint
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preprint

Base-60 Celestial Geometry in MUL.APIN's Tripartite Sky — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Stellar, planetary, and galactic studies
preprint

Base-60 Celestial Geometry in MUL.APIN's Tripartite Sky — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: MUL.APIN encodes a tripartite celestial division (Anu/Enlil/Ea paths) with 60-day arc segments and a 360-day ideal year, implying base-60 angular quantization. | MATH: 360° = 6×60; each path spans ~120° (360°/3); star risings grouped in 30-day or 60-day intervals (2×30, 3×20, 6×10 — all divisors of 60); the catalogue lists ~66–71 stars (multiples of 6 and 11, near 72 = 360/5). No explicit equations survive, but the structural arithmetic is: 3 paths × 120° = 360°; 12 months × 30 days = 360 days; intercalary month corrects to 365.25 days. | CONNECTION: Strong base-60 (sexagesimal) foundation — the same system underlying 0.618 (golden ratio conjugate) via 1/φ ≈ 0.618 = 37/60 + 1/60² + ...; the 3-fold division mirrors trigonal symmetry (crystallographic point group 3m), and the 120° angles are the internal angles of a regular hexagon (6-fold rotational symmetry). The 360-day year is a harmonic integer multiple of 60, and the 30-day month is 0.5×60. | DEPTH: 6 — This is a genuine m Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Stellar, planetary, and galactic studies
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Base-60 Celestial Geometry in MUL.APIN's Tripartite Sky — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS