MERLIN SCIENCE — Babylonian Base-60 Math: Exact Fractions and the World's Oldest Trigon — E8 Intelligence Research

The finding is this: the Babylonians, four thousand years ago, built a number system on base sixty that made exact fractions the default, not the exception, and their Plimpton 322 tablet is not a crude approximation of triangles but a precise table of exact ratios. I want you to sit with that for a moment, because as working scientists, you know the difference between a decimal that terminates and one that doesn't. In base ten, one third is a repeating nightmare. In base sixty, one third is a clean two-digit fraction. The Babylonians chose a base whose prime factors are two, three, and five. Those are the same primes that generate the harmonic divisions of a circle, the same primes that structure the crystallographic point groups in three dimensions. This is not numerology; it is arithmetic alignment. Here is the mechanism you can evaluate. In sexagesimal notation, the fraction one sixtieth is written as zero semicolon zero one, and one over thirty-six hundred is zero semicolon zero z 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.22090606
Primary Topic
History and Theory of Mathematics
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

MERLIN SCIENCE — Babylonian Base-60 Math: Exact Fractions and the World's Oldest Trigon — E8 Intelligence Research

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

MERLIN SCIENCE — Babylonian Base-60 Math: Exact Fractions and the World's Oldest Trigon — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The finding is this: the Babylonians, four thousand years ago, built a number system on base sixty that made exact fractions the default, not the exception, and their Plimpton 322 tablet is not a crude approximation of triangles but a precise table of exact ratios. I want you to sit with that for a moment, because as working scientists, you know the difference between a decimal that terminates and one that doesn't. In base ten, one third is a repeating nightmare. In base sixty, one third is a clean two-digit fraction. The Babylonians chose a base whose prime factors are two, three, and five. Those are the same primes that generate the harmonic divisions of a circle, the same primes that structure the crystallographic point groups in three dimensions. This is not numerology; it is arithmetic alignment. Here is the mechanism you can evaluate. In sexagesimal notation, the fraction one sixtieth is written as zero semicolon zero one, and one over thirty-six hundred is zero semicolon zero z 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.

MERLIN SCIENCE — Babylonian Base-60 Math: Exact Fractions and the World's Oldest Trigon — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS