Lots of aperiodic sets of tiles

DOI10.1016/j.jcta.2018.07.002zbMath1417.52028arXiv1608.07165OpenAlexW2964267739MaRDI QIDQ1671787

Chaim Goodman-Strauss

Publication date: 7 September 2018

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.07165

zbMATH Keywords

discrete geometrysubstitution tilingaperiodic tiling

Mathematics Subject Classification ID

Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items (2)

Lots of aperiodic sets of tiles ⋮ The expressiveness of quasiperiodic and minimal shifts of finite type

Uses Software

• Wolfram Demonstrations

Cites Work

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• On the table and the chair
• Matching rules and substitution tilings
• Space tilings and local isomorphism
• Power of words and recognizability of fixpoints of a substitution
• Nonperiodicity implies unique composition for self-similar translationally finite tilings
• A small aperiodic set of planar tiles
• Dynamical systems arising from random substitutions
• Lots of aperiodic sets of tiles
• Tilings, substitution systems and dynamical systems generated by them
• Undecidability and nonperiodicity for tilings of the plane
• Conjugacies for tiling dynamical systems
• The undecidability of the domino problem

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