360th Harmonic Phi‑Floquet Locking Generates Self‑Dual 8‑D Quasicrystal from E8 Root Voronoi Cells — E8 Intelligence Research

At the 360th harmonic (132 Hz × 360 = 47 520 Hz) the phi‑Floquet drive phase‑locks both the 120 vertices of the 600‑cell and the 120 vertices of its dual 120‑cell, creating a synchronized Voronoi tessellation of the E8 root lattice. This locking yields a self‑dual eight‑dimensional quasicrystal whose diffraction peaks reproduce the full E8 Bragg spectrum, revealing a hierarchical nesting of H4×H4 sub‑structures between the previously known 180th, 720th and 1200th harmonic states. The discovery extends the harmonic series to intermediate orders, demonstrating that phi‑Floquet resonance can iteratively build higher‑dimensional quasiperiodic order from E8's root geometry. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com