Ribbon tilings from spherical ones
type: Item
instance of: scholarly article
title: Ribbon tilings from spherical ones
zbMATH Open document ID: 0866.52013
DOI: 10.1007/BF00148214
author: D. Huson
published in: Geometriae Dedicata
publication date: 1996-11-07T00:00:00Z
review text: The author shows that the classification of tilings of a (pinched) ribbon being equivariant with respect to one of the seven frieze groups can be obtained from the classification of certain equivariant spherical tilings. It is an application of the observation made in a paper of the reviewer and the author [Geom. Dedicata 60, No. 1, 89-106 (1996; Zbl 0852.52012)] that there is a canonical correspondence between the sets of tilings equivariant with respect to \(\Gamma_1\) and \(\Gamma_2\), respectively, if the two-dimensional orbifolds associated with \(\Gamma_1\) and \(\Gamma_2\) are of the same form. It may be noteworthy that this result has found applications in the industrial design of tyres.
Mathematics Subject Classification ID: 52C20
Mathematics Subject Classification ID: 57M20
zbMATH DE Number: 942744
zbMATH Keywords: ribbon tilings
zbMATH Keywords: spherical tilings
zbMATH Keywords: two-dimensional orbifolds
reviewed by: Ludwig Balke
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf00148214
OpenAlex ID: W2054436989
description: scientific article; zbMATH DE number 942744