Icosahedral Quasicrystal from Golden-Ratio Icosagrid Maps to E8 Lattice — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: FINDING: Icosahedral quasicrystal from golden-ratio modification of icosagrid maps to E8 lattice. | MATH: Fibonacci chain spacing (τ = (1+√5)/2 ≈ 1.618) applied to 10 plane sets of icosagrid yields icosahedral quasicrystal; correlation to E8 root lattice (248-dim Lie algebra, rank 8). | CONNECTION: Golden ratio τ (1.618) and its inverse 1/τ ≈ 0.618 govern plane spacing; icosahedral symmetry (H3, order 60) is a subgroup of H4, which is itself a subgroup of E8 (Weyl group order 696729600). | DEPTH: 8 — Directly links golden ratio quasicrystals to E8, a key structure in string compactification and unification. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Author: Caldin, Andrew Stewart
Language: English
Subfield: Materials Chemistry
Field: Materials Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7170149870
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