A counterexample to the periodic tiling conjecture

Rachel Greenfeld, Terence Tao

Type: Preprint

Publication Date: 2022-01-01

Citations: 2

DOI: https://doi.org/10.48550/arxiv.2211.15847

View Publication

Locations

arXiv (Cornell University) - View
arXiv (Cornell University) - View - PDF
DataCite API - View
arXiv (Cornell University) - View
arXiv (Cornell University) - View - PDF
DataCite API - View
arXiv (Cornell University) - View
arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	A counterexample to the periodic tiling conjecture	2024	Rachel Greenfeld Terence Tao
+	A counterexample to the periodic tiling conjecture (announcement)	2022	Rachel Greenfeld Terence Tao
+	Undecidable translational tilings with only two tiles, or one nonabelian tile	2021	Rachel Greenfeld Terence Tao
+	The structure of translational tilings in $\mathbb{Z}^d$	2020	Rachel Greenfeld Terence Tao
+ PDF	Putting the Pieces Together: Understanding Robinson's Nonperiodic Tilings	1997	Aimee Johnson Kathleen Madden
+	Undecidability and nonperiodicity for tilings of the plane	1971	Raphael M. Robinson
+ PDF Chat	Cube tilings with linear constraints	2024	Dae Gwan Lee Götz E. Pfander David F. Walnut
+ PDF Chat	Undecidability of Translational Tiling with Three Tiles	2024	Chan Min Yang Zhujun Zhang
+ PDF	The structure of translational tilings in $\mathbb{Z}^d$	2021	Rachel Greenfeld Terence Tao
+ PDF Chat	Quasiperiodicity and Non-computability in Tilings	2015	Bruno Durand Andrei Romashchenko
+ PDF	Tiles with no spectra	2006	Mihail N. Kolountzakis Máté Matolcsi
+	Tegula -- exploring a galaxy of two-dimensional periodic tilings	2020	Rüdiger Zeller Olaf Delgado Friedrichs Daniel H. Huson
+ PDF Chat	Quasi-periodic Tiling with Multiplicity: A Lattice Enumeration Approach	2015	Swee Hong Chan
+ PDF Chat	Filling space with hypercubes of two sizes – The pythagorean tiling in higher dimensions	2022	Jakob Führer
+ PDF Chat	SL$_2 (\mathbb Z)$-tilings of the torus, Coxeter–Conway friezes and Farey triangulations	2016	Sophie Morier-Genoud Valentin Ovsienko Serge Tabachnikov
+	Tegula -- exploring a galaxy of two-dimensional periodic tilings	2020	Rüdiger Zeller Olaf Delgado Friedrichs Daniel H. Huson
+	$SL_2(\mathbb{Z})$-tilings of the torus, Coxeter-Conway friezes and Farey triangulations	2014	Sophie Morier-Genoud Valentin Ovsienko Serge Tabachnikov
+	$SL_2(\mathbb{Z})$-tilings of the torus, Coxeter-Conway friezes and Farey triangulations	2014	Sophie Morier-Genoud Valentin Ovsienko Serge Tabachnikov
+	Chaos on the Billiard Table	2016	Marianne Freiberger
+	Chaos on the Billiard Table	2016	Marianne Freiberger

Works That Cite This (2)

Action	Title	Year	Authors
+	An aperiodic monotile	2024	David J. Smith Joseph Samuel Myers Craig S. Kaplan Chaim Goodman-Strauss
+	An aperiodic monotile	2023	David J. Smith Joseph Samuel Myers Craig S. Kaplan Chaim Goodman-Strauss

Works Cited by This (0)

Action	Title	Year	Authors