Parametrization of a two-dimensional quasiperiodic Rauzy tiling

DOI10.1090/S1061-0022-2011-01157-4zbMath1225.05076MaRDI QIDQ3020547

V. G. Zhuravlev

Publication date: 4 August 2011

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

local rulesquasiperiodic tilingsdivisible figurestwo-dimensional approximations

Mathematics Subject Classification ID

Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)

Related Items (4)

Local structure of karyon tilings ⋮ Symmetry properties of karyon tilings ⋮ A local algorithm for constructing derived tilings of the two-dimensional torus ⋮ Fibonacci-even numbers: Binary additive problem, distribution over progressions, and spectrum

Cites Work

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• Rauzy tilings and bounded remainder sets on the torus
• Substitutions in dynamics, arithmetics and combinatorics
• Modified Jacobi-Perron algorithm and generating Markov partitions for special hyperbolic toral automorphisms
• Discrete planes, \({\mathbb Z}^2\)-actions, Jacobi-Perron algorithm and substitutions
• On simultaneous approximation to \((\alpha,\alpha^2)\) with \(\alpha^3+k\alpha-1=0\).
• Nombres algébriques et substitutions
• One-dimensional Fibonacci tilings

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