A strongly aperiodic set of tiles in the hyperbolic plane

DOI10.1007/s00222-004-0384-1zbMath1064.52012OpenAlexW1990278318WikidataQ56443072 ScholiaQ56443072MaRDI QIDQ706146

Chaim Goodman-Strauss

Publication date: 2 February 2005

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00222-004-0384-1

zbMATH Keywords

hyperbolic planeaperiodic tilingsinfinite cyclic symmetryset of tiles

Mathematics Subject Classification ID

Related Items (11)

Strongly aperiodic subshifts of finite type on hyperbolic groups ⋮ About the domino problem in the hyperbolic plane from an algorithmic point of view ⋮ An upper bound on the growth of Dirichlet tilings of hyperbolic spaces ⋮ The domino problem of the hyperbolic plane is undecidable ⋮ Properties of Böröczky tilings in high-dimensional hyperbolic spaces ⋮ A hierarchical strongly aperiodic set of tiles in the hyperbolic plane ⋮ On the Undecidability of the Tiling Problem ⋮ Regular production systems and triangle tilings ⋮ The hexagonal parquet tiling: \(k\)-isohedral monotiles with arbitrarily large \(k\). ⋮ Free groups in lattices ⋮ A strongly aperiodic shift of finite type on the discrete Heisenberg group using Robinson tilings

Cites Work

• Regular production systems and triangle tilings
• A small aperiodic set of Wang tiles
• Matching rules and substitution tilings
• Pentaplexity. A class of non-periodic tilings of the plane
• Aperiodic tilings of the hyperbolic plane by convex polygons
• Aperiodic tilings
• Aperiodic Tilings, Positive Scalar Curvature, and Amenability of Spaces
• The undecidability of the domino problem
• Unnamed Item
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