E8 to 2D via H4: Golden Ratio Scaling of 600-Cell — E8 Intelligence Research

FINDING: E8 root system (240 vertices) projects to 2D via H4 (600-cell) using golden ratio scaling, revealing deep symmetry between 8D and 4D exceptional structures. MATH: - E8 Coxeter number = 30 (order of Coxeter element) - H4 (600-cell) vertices = 120, scaled by φ = (1+√5)/2 ≈ 1.618 - Combined projection: two 120-vertex H4 copies, one scaled by φ, yield E8's 240 vertices in 2D - Golden ratio φ appears as scaling factor between H4 and its dual (or scaled copy) - Coxeter group relations: E8 has Coxeter diagram with edge labels 3,3,3,3,3,3,3 (all order 3 except one order 2) CONNECTION: - φ (1.618) and its reciprocal 0.618 are central to H4/E8 projection - 600-cell (H4) is a 4D regular polytope with 120 vertices, icosahedral symmetry - E8 root system is the largest exceptional Lie group, linked to octonions and 8D lattice E8 - Projection uses golden ratio to map 4D to 2D, preserving symmetry axes - Base-60 not directly present, but 30 (Coxeter number) relates to Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com