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The classification of face-transitive periodic three-dimensional tilings (1993)

Dress, A. W. M. ; Huson, D. H. ; Molnár, E.

[S.l.] : International Union of Crystallography (IUCr)

Acta crystallographica 49 (1993), S. 806-817

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ISSN: 1600-5724

Source: Crystallography Journals Online : IUCR Backfile Archive 1948-2001

Topics: Chemistry and Pharmacology , Geosciences , Physics

Notes: It has long been known that there exists an infinite number of types of tile-transitive periodic three-dimensional tilings. Here, it is shown that, by contrast, the number of types of face-transitive periodic three-dimensional tilings is finite. The method of Delaney symbols and the properties of the 219 isomorphism classes of crystallographic space groups are used to find exactly 88 equivariant types that fall into seven topological families.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1107/S010876739300354X

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