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

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
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

Babylonian Base-60 Arithmetic: A Superior Foundation for Astronomy and Geometry — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
History and Theory of Mathematics
preprint

Babylonian Base-60 Arithmetic: A Superior Foundation for Astronomy and Geometry — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

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

Zenodo (CERN European Organization for Nuclear Research)
History and Theory of Mathematics
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.