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

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-23
DOI
https://doi.org/10.5281/zenodo.21503985
Primary Topic
Quasicrystal Structures and Properties
Type
preprint
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preprint

Icosahedral Quasicrystal from Golden-Ratio Icosagrid Maps to E8 Lattice — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quasicrystal Structures and Properties
preprint

Icosahedral Quasicrystal from Golden-Ratio Icosagrid Maps to E8 Lattice — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

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

Zenodo (CERN European Organization for Nuclear Research)
Quasicrystal Structures and Properties
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