A small aperiodic set of planar tiles
type: Item
instance of: scholarly article
title: A small aperiodic set of planar tiles
zbMATH Open document ID: 0947.52009
author: Chaim Goodman-Strauss
published in: European Journal of Combinatorics
publication date: 2000-10-29T00:00:00Z
review text: A set of tiles is called aperiodic if any tiling of the plane with congruent copies of the tiles is non-periodic. The author gives a set of two tiles that is proved to be aperiodic and new. The tiles occur in eight translation classes. The tiles are colored and a matching rule, that is, a local rule that restricts how the tiles are allowed to meet, is used (but the author gives a variant at the end of the paper that is purely geometrical).
reviewed by: Patric R. J. Östergård
Mathematics Subject Classification ID: 52C20
Mathematics Subject Classification ID: 05B45
zbMATH DE Number: 1339811
zbMATH Keywords: aperiodic tiling
zbMATH Keywords: plane
zbMATH Keywords: tile
MaRDI profile type: Publication
full work available at URL: eujc.1998.0281
OpenAlex ID: W2043284104
Wikidata QID: Q56443069
DBLP publication ID: journals/ejc/Goodman-Strauss99
DOI: 10.1006/EUJC.1998.0281
description: scientific article; zbMATH DE number 1339811