Substitution discrete plane tilings with \(2n\)-fold rotational symmetry for odd \(n\)

DOI10.1007/s00454-022-00390-zOpenAlexW3213882909MaRDI QIDQ2690122

Jarkko Kari, Victor H. Lutfalla

Publication date: 15 March 2023

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.01879

zbMATH Keywords

rhombus tilingdiscrete planessubstitution tilingsquasiperiodic tilings\(n\)-fold symmetric tilingcut-and-project tiling

Mathematics Subject Classification ID

Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Tiling dynamics (37B52)

Cites Work

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• Sub Rosa, a system of quasiperiodic rhombic substitution tilings with \(n\)-fold rotational symmetry
• Canonical substitutions tilings of Ammann-Beenker type
• Weak matching rules for quasicrystals
• A primer of substitution tilings of the Euclidean plane
• When periodicities enforce aperiodicity
• Tiling a polygon with parallelograms
• Algebraic numbers, free group automorphisms and substitutions on the plane
• Aperiodic Order
• MULTIDIMENSIONAL STURMIAN SEQUENCES AND GENERALIZED SUBSTITUTIONS
• Higher dimensional extensions of substitutions and their dual maps
• Pisot substitutions and Rauzy fractals

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