Quaquaversal tilings and rotations
type: Item
instance of: scholarly article
title: Quaquaversal tilings and rotations
zbMATH Open document ID: 0913.52009
author: Charles Radin
author: J. H. Conway
published in: Inventiones Mathematicae
publication date: 1998-08-09T00:00:00Z
review text: Considered are tilings of the three-dimensional Euclidean space which are generated from triangular prisms by inflation rules. An example of a tiling is given in which the orientations of the tiles are uniformly distributed in \(SO(3)\). The number of such orientations which occur in a sphere of volume \(k\) grows polynomially in \(k\). (Only logarithmic growth is possible in analogous two-dimensional tilings). Moreover, local properties of the tilings concerned with the neighborhoods of tiles, are discussed.
Mathematics Subject Classification ID: 52C22
Mathematics Subject Classification ID: 52B10
zbMATH DE Number: 1186159
zbMATH Keywords: aperiodic tilings
zbMATH Keywords: inflation rules
MaRDI profile type: Publication
full work available at URL: s002220050221
OpenAlex ID: W2066577950
DOI: 10.1007/S002220050221
description: scientific article; zbMATH DE number 1186159