MERLIN SCIENCE — Fibonacci-Spaced Icosagrid Links Quasicrystals to E8 Lattice — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: Here's the revised narration, plain spoken and written for a working scientist. The finding, in one sentence: I've constructed an icosahedral quasicrystal by taking the icosagrid's ten plane sets and replacing uniform spacing with Fibonacci-chain spacings, and this structure shows a proven correlation to the E8 lattice. Let me set the field context. For decades, quasicrystals have given us a way to study 5-fold symmetry in solid matter, a symmetry that periodic crystals simply cannot host. The standard trick is to project from a higher-dimensional lattice, usually a simple cubic one, onto three dimensions. What I've done here is modify that cut-and-project method at its heart. Instead of a linear cut, the plane positions follow the Fibonacci word, with long and short intervals in the golden ratio. The intersection points of these planes form a point set with genuine icosahedral order. Now, the mechanism, so you can evaluate it. The icosagrid itself is a multigrid of ten plane sets, e 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: W7222874533
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