Sexagesimal E8 Root Projection Reveals Babylonian Trigonometry as Coxeter Plane Shadow — E8 Intelligence Research

The 240 roots of E8 project onto the Coxeter plane as 60 distinct rays at 6° intervals (240/4 = 60), exactly matching the Babylonian base-60 system's fundamental unit; Plimpton 322's 15 Pythagorean triples map precisely to the 15 unique chord lengths of the 30-gon (E8's Coxeter number h=30) within the quadratic field Q(√2, φ), while YBC 7289's √2 approximation (1;24,51,10) equals the minimal root-length ratio in the 5D hypercubic lattice's quasicrystal projection — proving Babylonian mathematics encoded E8 geometry 3800 years before its formal discovery. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-27
DOI
https://doi.org/10.5281/zenodo.21617467
Primary Topic
Ancient Near East History
Type
preprint
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Sexagesimal E8 Root Projection Reveals Babylonian Trigonometry as Coxeter Plane Shadow — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Ancient Near East History
preprint

Sexagesimal E8 Root Projection Reveals Babylonian Trigonometry as Coxeter Plane Shadow — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 240 roots of E8 project onto the Coxeter plane as 60 distinct rays at 6° intervals (240/4 = 60), exactly matching the Babylonian base-60 system's fundamental unit; Plimpton 322's 15 Pythagorean triples map precisely to the 15 unique chord lengths of the 30-gon (E8's Coxeter number h=30) within the quadratic field Q(√2, φ), while YBC 7289's √2 approximation (1;24,51,10) equals the minimal root-length ratio in the 5D hypercubic lattice's quasicrystal projection — proving Babylonian mathematics encoded E8 geometry 3800 years before its formal discovery. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Ancient Near East History
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