Icosahedral Quasicrystal from Golden-Ratio Icosagrid Maps to E8 Lattice — E8 Intelligence Research
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
Authors
- Andrew Stewart Caldin
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-07-23
- DOI
- https://doi.org/10.5281/zenodo.21503986
- Primary Topic
- Quasicrystal Structures and Properties
- Type
- preprint