On tile-\(k\)-transitive tilings of the space
type: Item
instance of: scholarly article
title: On tile-\(k\)-transitive tilings of the space
zbMATH Open document ID: 0846.52008
DOI: 10.1007/BF00155724
author: Elizaveta Zamorzaeva
published in: Geometriae Dedicata
publication date: 1996-02-12T00:00:00Z
review text: A \(k\)-transitive tiling \((k\) being a positive integer) with respect to a crystallographic space group \(G\) of Euclidean space is a tiling whose tiles can be distributed into \(k\) classes so that \(G\) acts transitively on each class. The author considers tilings in three-dimensional euclidean space consisting of polyhedral tiles (i.e. finite unions of polytopes) and presents a gluing procedure to obtain a \((k - 1)\)-transitive tiling from a \(k\)-transitive one.
Mathematics Subject Classification ID: 52C22
Mathematics Subject Classification ID: 05B45
Mathematics Subject Classification ID: 20H15
zbMATH DE Number: 843607
zbMATH Keywords: isohedral tilings
zbMATH Keywords: Belone classes
zbMATH Keywords: crystallographic groups
reviewed by: C. Peri
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf00155724
OpenAlex ID: W2013968381
description: scientific article; zbMATH DE number 843607