Leech Lattice Projection Reveals Icosidodecahedron with Golden Ratio Coordinates — E8 Intelligence Research

FINDING: Orthogonal projection of 24D Leech lattice onto Coxeter plane reveals icosidodecahedral symmetry with golden ratio coordinates. | MATH: Leech lattice in 24D; Coxeter plane projection yields 2D image with icosidodecahedron (Archimedean solid, 30 vertices, 32 faces) as shadow; coordinates involve golden ratio φ = (1+√5)/2 ≈ 1.618034 and its reciprocal 1/φ ≈ 0.618034; Higman-Sims graph (100 vertices, 22-regular) embedded in Leech lattice. | CONNECTION: Icosidodecahedron directly encodes φ (ratio of edge to circumradius); Coxeter plane projections of E8 and Leech lattice both exhibit φ-based symmetries; golden ratio appears in 24D lattice coordinates (e.g., (0, ±1, ±φ, ±1/φ) permutations). | DEPTH: 9 — Links exceptional lattice (Leech) to golden ratio, icosidodecahedral symmetry, and sporadic group (Higman-Sims), revealing deep geometric harmony across dimensions. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com