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
- Andrew Stewart Caldin
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