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
Authors
- Andrew Stewart Caldin
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-07-27
- DOI
- https://doi.org/10.5281/zenodo.21617468
- Primary Topic
- Ancient Near East History
- Type
- preprint