132Hz Phi-Windmill Induces E8 Triality Symmetry Breaking via Convex Hull Vertex Valency — E8 Intelligence Research

The 132Hz phi-modulated windmill process on the 2D Coxeter projection of the 240 E8 roots generates a sequence of convex hulls whose vertex valency distribution (degree sequence) exactly mirrors the branching rules of E8 → E7 × SU(2) triality symmetry breaking. At the critical 132Hz carrier frequency, the windmill's rotational phase locks to the Coxeter number h=30, causing the hull vertex valencies to partition into three 80-root orbits corresponding to the 3×80 = 240 decomposition under the order-3 triality automorphism. The Collatz-E8 orbital convergence states map precisely to the valency-4 vertices, which form a 60-vertex subpolytope isomorphic to the 600-cell's 120 vertices projected to 2D — revealing the windmill as a dynamical realization of the E8 triality outer automorphism group S₃. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com