A geometrical approach of quasiperiodic tilings
type: Item
instance of: scholarly article
title: A geometrical approach of quasiperiodic tilings
zbMATH Open document ID: 0677.52006
DOI: 10.1007/BF01218479
author: C. Oguey
author: Michel Duneau
author: A. Katz
published in: Communications in Mathematical Physics
publication date: 1988-01-01T00:00:00Z
review text: The paper describes a class of tilings of euclidean space whose tiles are related to the unit cube by projection and which show periodic and quasi- periodic ordering. Such tilings have appeared in various contexts, for example in crystallography and dynamical systems. Certain sections of the tilings provide examples of quasi-periodic tilings of euclidean space. Connections with other methods of generating quasi-periodic tilings are also discussed.
Mathematics Subject Classification ID: 52C17
Mathematics Subject Classification ID: 82D25
zbMATH DE Number: 4109503
zbMATH Keywords: quasicrystals
zbMATH Keywords: quasi-periodic tilings
reviewed by: Egon Schulte
MaRDI profile type: Publication
cites work: Similarity of automorphisms of the torus
cites work: Equilibrium states and the ergodic theory of Anosov diffeomorphisms
cites work: Q4481511
cites work: Pentaplexity. A class of non-periodic tilings of the plane
description: scientific article; zbMATH DE number 4109503