Aperiodic tilings of the hyperbolic plane by convex polygons
type: Item
instance of: scholarly article
title: Aperiodic tilings of the hyperbolic plane by convex polygons
zbMATH Open document ID: 0928.52012
DOI: 10.1007/BF02764015
author: Shahar Mozes
author: Gregory Margulis
published in: Israel Journal of Mathematics
publication date: 1999-03-09T00:00:00Z
review text: It is proved that for every \(n\geq 3\) there exists an aperiodic tiling system whose set of tiles consists of a single convex hyperbolic \(n\)-gon. Also another criterion is presented for showing that a given tiling system cannot tessellate a compact quotient of \(H^2\).
Mathematics Subject Classification ID: 52C20
Mathematics Subject Classification ID: 52A55
Mathematics Subject Classification ID: 51M10
zbMATH DE Number: 1239670
zbMATH Keywords: hyperbolic plane
zbMATH Keywords: convex polygon
zbMATH Keywords: aperiodic tiling
reviewed by: Milica Stojanović
MaRDI profile type: Publication
cites work: The undecidability of the domino problem
cites work: Aperiodic Tilings, Positive Scalar Curvature, and Amenability of Spaces
cites work: Q3735714
cites work: Aperiodic tilings
cites work: Pentaplexity. A class of non-periodic tilings of the plane
cites work: Global order from local sources
cites work: Aperiodic Tilings in Higher Dimensions
cites work: Q4837266
full work available at URL: https://doi.org/10.1007/bf02764015
OpenAlex ID: W2073943587
Recommended article: A strongly aperiodic set of tiles in the hyperbolic plane
Recommended article: AN APPLICATION OF TILINGS IN THE HYPERBOLIC PLANE
Recommended article: Conway and aperiodic tilings
Recommended article: On non-periodicity for tilings in the hyperbolic plane
Recommended article: Tilings of convex polygons
Recommended article: Semi-regular tilings of the hyperbolic plane
Recommended article: Aperiodic Tilings in Higher Dimensions
Recommended article: A hierarchical strongly aperiodic set of tiles in the hyperbolic plane
Recommended article: Q4807528
Recommended article: Aperiodic orbits of piecewise rational rotations of convex polygons with recursive tiling
description: scientific article; zbMATH DE number 1239670