A strongly aperiodic set of tiles in the hyperbolic plane

Chaim Goodman-Strauss

Type: Article

Publication Date: 2004-07-13

Citations: 49

DOI: https://doi.org/10.1007/s00222-004-0384-1

View Publication

Download PDF

Locations

CiteSeer X (The Pennsylvania State University) - View - PDF
Inventiones mathematicae - View

Similar Works

Action	Title	Year	Authors
+	A hierarchical strongly aperiodic set of tiles in the hyperbolic plane	2009	Chaim Goodman-Strauss
+	Aperiodic tilings of the hyperbolic plane by convex polygons	1998	G. A. Margulis Shahar Mozes
+	Lots of aperiodic sets of tiles	2018	Chaim Goodman-Strauss
+ PDF Chat	Yet Another Aperiodic Tile Set	2010	Victor Poupet
+	An aperiodic hexagonal tile	2011	Joshua E. S. Socolar Joan M. Taylor
+	Deterministic Aperiodic Tile Sets	1999	Jarkko Kari Panos Papasoglu
+ PDF Chat	Yet Another Aperiodic Tile Set	2010	Victor Poupet
+	Yet another aperiodic tile set	2010	Victor Poupet
+ PDF Chat	Fixed Point and Aperiodic Tilings	2008	Bruno Durand Andrei Romashchenko Alexander Shen
+ PDF Chat	A self-similar aperiodic set of 19 Wang tiles	2018	Sébastien Labbé
+ PDF Chat	Conway and Aperiodic Tilings	2021	Charles Radin
+	Strongly aperiodic subshifts of finite type on hyperbolic groups	2017	David Bruce Cohen Chaim Goodman-Strauss Yo’av Rieck
+	Strongly aperiodic subshifts of finite type on hyperbolic groups	2017	David Bruce Cohen Chaim Goodman-Strauss Yo’av Rieck
+	Pseudo-homogeneous tiling of the hyperbolic plane	2023	Arun Maiti
+	A Weakly Universal Cellular Automaton in the Heptagrid of the Hyperbolic Plane	2018	Maurice Margenstern
+ PDF Chat	Strongly aperiodic SFTs on hyperbolic groups: where to find them and why we love them	2023	Yo’av Rieck
+	Growth functions for semi-regular tilings of the hyperbolic plane	1994	William Floyd Steven P. Plotnick
+ PDF Chat	Properties of Böröczky tilings in high-dimensional hyperbolic spaces	2009	Н. П. Долбилин Dirk Frettlöh
+	Singular sets of planar hyperbolic billiards are regular	2013	Gianluigi Del Magno Roberto Markarian
+	Aperiodic Tilings on the Computer	2002	Uwe Grimm Michael Schreiber

Works That Cite This (42)

Action	Title	Year	Authors
+	A strongly aperiodic shift of finite type on the discrete Heisenberg group using Robinson tilings	2020	Ayşe Şahı̇n Michael Schraudner Ilie Ugarcovici
+ PDF Chat	An upper bound on the growth of Dirichlet tilings of hyperbolic spaces	2016	Itaı Benjamini Tsachik Gelander
+	Quasiperiodic tilings in hyperbolic space	2020	Reinhard Lück
+	The Injectivity of the Global Function of a Cellular Automaton in the Hyperbolic Plane is Undecidable	2009	Maurice Margenstern
+ PDF Chat	Strongly aperiodic SFTs on hyperbolic groups: where to find them and why we love them	2023	Yo’av Rieck
+	About the domino problem in the hyperbolic plane, a new solution	2007	Maurice Margenstern
+	Hexagonal parquet tilings: k-isohedral monotiles with arbitrarily large k	2007	Joshua E. S. Socolar
+	Homological aperiodic tilings of 3-dimensional geometries	2012	Piotr W. Nowak Shmuel Weinberger
+	A Strongly Aperiodic Shift Of Finite Type For The Discrete Heisenberg Group	2014	Ayşe Şahı̇n Michael Schraudner Ilie Ugarcovici
+	Regular production systems and triangle tilings	2008	Chaim Goodman-Strauss

Works Cited by This (8)

Action	Title	Year	Authors
+	Word Processing in Groups	1992	D. B. A. Epstein
+	Tilings and Patterns.	1988	Solomon W. Golomb Branko Grünbaum G. C. Shephard
+	Undecidable tiling problems in the hyperbolic plane	1978	Raphael M. Robinson
+	The undecidability of the domino problem	1966	Robert E. Berger
+	Regular production systems and triangle tilings	2008	Chaim Goodman-Strauss
+ PDF Chat	Aperiodic tilings, positive scalar curvature, and amenability of spaces	1992	Jonathan Block Shmuel Weinberger
+	Aperiodic tilings of the hyperbolic plane by convex polygons	1998	G. A. Margulis Shahar Mozes
+	Undecidability and nonperiodicity for tilings of the plane	1971	Raphael M. Robinson