Independent research explores E8 root vectors' resonance patterns in the Coxeter plane, suggesting novel harmonic relationships.
The 240 E8 root vectors project onto the Coxeter plane as eight concentric 30-gons whose radial distances form exact sexagesimal reciprocal pairs matching Plimpton 322's Pythagorean triples; the 132Hz base frequency arises as the fundamental harmonic of the 11th Coxeter exponent (e=11) quantized through the 30-fold rotational symmetry permitted in 8D by the crystallographic restriction theorem, generating a phi-scaled frequency lattice where each root-pair interval resonates at 132 × φ^k Hz. 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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