Symmetry properties of karyon tilings

DOI10.1007/s10958-022-05985-8zbMath1496.52023OpenAlexW4283709250MaRDI QIDQ2153762

V. G. Zhuravlev

Publication date: 13 July 2022

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-022-05985-8

zbMATH Keywords

symmetry propertiesmultidimensional continued fractionshomogeneous and nonhomogeneous approximationskaryon tilingstilings of torus

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Metric theory of continued fractions (11K50) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Cites Work

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• Rauzy tilings and bounded remainder sets on the torus
• Exchanged toric developments and bounded remainder sets
• Simplex-karyon algorithm of multidimensional continued fraction expansion
• Simplex-module algorithm for expansion of algebraic numbers in multidimensional continued fractions
• The karyon algorithm for expansion in multidimensional continued fractions
• A local algorithm for constructing derived tilings of the two-dimensional torus
• Differentiation of induced toric tiling and multidimensional approximations of algebraic numbers
• Bounded remainder polyhedra
• Two-dimensional approximations by the method of dividing toric tilings
• Parametrization of a two-dimensional quasiperiodic Rauzy tiling
• Nombres algébriques et substitutions
• One-dimensional Fibonacci tilings

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