Tiles in quasicrystals with quartic irrationality

DOI10.1090/S0025-5718-08-02137-6zbMath1203.82097MaRDI QIDQ3055100

Kevin G. Hare

Publication date: 7 November 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

quasicrystals\texttt{ARPREC} package\texttt{MAPLE} implementation

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Uses Software

• Maple
• PARI/GP
• ARPREC

Cites Work

• Unnamed Item
• On integer Chebyshev polynomials
• Minimal distances in quasicrystals
• Self-similar Delone sets and quasicrystals
• Classification of Voronoi and Delone tiles in quasicrystals: I. General method
• Tiles in quasicrystals with cubic irrationality
• Number fields
• Characterization of cut-and-project sets using a binary operation

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