Symmetry groups for beta-lattices

DOI10.1016/j.tcs.2004.02.013zbMath1068.52028OpenAlexW1970448749MaRDI QIDQ596060

Christiane Frougny, Jean-Louis Verger-Gaugry, Avi El-Kharrat, Jean-Pierre Gazeau

Publication date: 10 August 2004

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.tcs.2004.02.013

zbMATH Keywords

Pisot numbersTilingsQuasicrystalsBeta-latticesPlane groups

Mathematics Subject Classification ID

PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Tilings in (n) dimensions (aspects of discrete geometry) (52C22) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items

Dynamical directions in numeration, Diffraction spectra of weighted Delone sets on beta-lattices with beta a quadratic unitary Pisot number, On gaps in Rényi \(\beta\)-expansions of unity for \(\beta>1\) an algebraic number, Asymptotic behavior of beta-integers, A classification of (some) Pisot-cyclotomic numbers

Cites Work

• Geometric study of the beta-integers for a Perron number and mathematical quasicrystals
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