Mathematical analysis reveals that Babylonian sexagesimal mathematics enabled exact fractional ratios in Plimpton 322, indicating an exact approach to ancient trigonometry.
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
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Andrew Stewart Caldin (2026) studied this question.
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