Structurally Stable Symmetric Tilings on the Plane

DOI10.33581/1561-4085-2021-24-2-156-165zbMath1525.37055OpenAlexW3181364468MaRDI QIDQ6132601

Dmitry W. Serow, Maria V. Makarova, Ivan A. Kovalew

Publication date: 17 August 2023

Published in: Nonlinear Phenomena in Complex Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33581/1561-4085-2021-24-2-156-165

zbMATH Keywords

self-similarityquasicrystaladditive basisfractional densitypentagonal tilingSchnirelmann densityquasi-periodic functionorder of basis\(m\)-fold symmetryheptagonal tiling

Mathematics Subject Classification ID

Generic properties, structural stability of dynamical systems (37C20) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Quasicrystals and aperiodic tilings in discrete geometry (52C23) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

Cites Work

• Propriétés des attracteurs de Birkhoff
• Rotation and periodicity in plane separating continua
• What is good mathematics?
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