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Quasicrystals: Cut-and-Project Lattices, Modular Forms, and Non-Crystallographic Symmetries — E8 Intelligence Research

Year: 2026

Type: preprint

Abstract: FINDING: Quasicrystals arise from cut-and-project of higher-dimensional lattices, linking modular forms, Macdonald identities, and lattice index Jacobi forms to non-crystallographic symmetries. | MATH: Cut-and-project method: Λ ⊂ ℝⁿ → ℝᵈ (d Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.21617336

Author: Caldin, Andrew Stewart

Language: English

Topic: Quasicrystal Structures and Properties

Subfield: Materials Chemistry

Field: Materials Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7171380464

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