Babylonian Base-60 Arithmetic: A Superior Foundation for Astronomy and Geometry — E8 Intelligence Research
FINDING: Babylonian base-60 (sexagesimal) system encodes highly composite numbers, enabling exact division by 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 — a superior arithmetic foundation for astronomy and geometry. | MATH: 60 = 2² × 3 × 5; divisors: {1,2,3,4,5,6,10,12,15,20,30,60}; reciprocal pairs (e.g., 1/60, 1/30, 1/20, 1/15, 1/12, 1/10, 1/6, 1/5, 1/4, 1/3, 1/2) all terminate in base-60; Plimpton 322 (c. 1800 BCE) contains Pythagorean triples (e.g., 119, 120, 169) generated via sexagesimal reciprocals — effectively a trigonometric table. | CONNECTION: Base-60 directly maps to the 360° circle (6×60), enabling exact angular subdivision into 1°, 2°, 3°, 4°, 5°, 6°, 10°, 12°, 15°, 20°, 30° — the basis for zodiacal and celestial coordinate systems. The ratio 1/60 = 0.016666…, and its multiples yield 0.1, 0.2, 0.25, 0.3, 0.5, 0.75 — all terminating decimals in base-60, aligning with the 0.618/0.382 golden ratios only via 37.08° (0.618×60) and 22.92° (0.382×60) — not directly encoded, but the sexa Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Authors
- Andrew Stewart Caldin
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-08-25
- DOI
- https://doi.org/10.5281/zenodo.22090520
- Primary Topic
- History and Theory of Mathematics
- Type
- preprint