Diophantine equations related to quasicrystals: A note

DOI10.1007/BF02575496zbMATH Open1013.11013arXivmath-ph/0112016OpenAlexW1972330532MaRDI QIDQ1567771

A. Perelomov, Edita Pelantová

Publication date: 10 July 2003

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Abstract: We give the general solution of three Diophantine equations in the ring of integer of the algebraic number field $$. These equations are related to the problem of determination of the minimum distance in quasicrystals with fivefold symmetry.

Full work available at URL: https://arxiv.org/abs/math-ph/0112016

zbMATH Keywords

quadratic Diophantine equationsminimum distance in quasicrystalsquasicrystals with fivefold symmetry

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Quadratic and bilinear Diophantine equations (11D09) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

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