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- Publisher
- Wiley
- Copyright
- Copyright © 2005 Wiley Subscription Services, Inc., A Wiley Company
- ISSN
- 0108-7673
- eISSN
- 1600-5724
- DOI
- 10.1107/S0108767305026760
- pmid
- 16244403
- Publisher site
- See Article on Publisher Site
Abstract
A new method, developed in previous works by the author (partly with co‐authors), is presented which decides algorithmically, in principle by computer, whether a combinatorial space tiling (,Γ) is realizable in the d‐dimensional Euclidean space Ed (think of d = 2, 3, 4) or in other homogeneous spaces, e.g. in Thurston's 3‐geometries: Then our group Γ will be an isometry group of a projective metric 3‐sphere , acting discontinuously on its above tiling . The method is illustrated by a plane example and by the well known rhombohedron tiling , where Γ = Rm is the Euclidean space group No. 166 in International Tables for Crystallography.
Journal
Acta Crystallographica Section A Foundations of Crystallography – Wiley
Published: Nov 1, 2005
Keywords: ; ; ;