Babylonian Sexagesimal System: Enabling Exact Fractions, Angles, and Equations — E8 Intelligence Research

FINDING: Babylonian base‑60 (sexagesimal) notation provided a highly composite place‑value system that enabled exact fractional representation, angular measurement, and the solution of Pythagorean triples and cubic equations. | MATH: Sexagesimal expansion \(n=\sum_{i=-k}^{m} a_i 60^i\) with digits 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
2026-11-08
DOI
https://doi.org/10.5281/zenodo.24049091
Primary Topic
History and Theory of Mathematics
Type
preprint
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Babylonian Sexagesimal System: Enabling Exact Fractions, Angles, and Equations — E8 Intelligence Research

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

Babylonian Sexagesimal System: Enabling Exact Fractions, Angles, and Equations — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Babylonian base‑60 (sexagesimal) notation provided a highly composite place‑value system that enabled exact fractional representation, angular measurement, and the solution of Pythagorean triples and cubic equations. | MATH: Sexagesimal expansion \(n=\sum_{i=-k}^{m} a_i 60^i\) with digits 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
DOIOpen Access PDFOpenAlex
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Babylonian Sexagesimal System: Enabling Exact Fractions, Angles, and Equations — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS