E8 Root System Projects to Icosahedral Quasicrystal via H3 Symmetry — E8 Intelligence Research

FINDING: E8 root system projects to 3D quasicrystal via cut-and-project method, with H3 Coxeter group symmetry governing the projection. | MATH: E8 lattice has 240 minimal vectors (roots); projection uses 3D subspace spanned by eigenvectors of Coxeter element; cut-and-project yields 3D quasicrystal with icosahedral symmetry (H3). | CONNECTION: H3 Coxeter group is the symmetry group of the icosahedron/dodecahedron, with golden ratio φ = (1+√5)/2 ≈ 1.618 appearing in its Cartan matrix and eigenvalues; 3D quasicrystal exhibits φ-based inflation ratios (1.618, 2.618, 0.618). | DEPTH: 8 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com