The classification of face‐transitive periodic three‐dimensional tilings

Dress A, Huson DH, Molnar E (1993)
Acta Crystallographica Section A 49(6): 806-817.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Dress, AndreasUniBi; Huson, Daniel H.; Molnar, Etele
Abstract / Bemerkung
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.
Erscheinungsjahr
1993
Zeitschriftentitel
Acta Crystallographica Section A
Band
49
Ausgabe
6
Seite(n)
806-817
ISSN
0108-7673
Page URI
https://pub.uni-bielefeld.de/record/1644869

Zitieren

Dress A, Huson DH, Molnar E. The classification of face‐transitive periodic three‐dimensional tilings. Acta Crystallographica Section A. 1993;49(6):806-817.
Dress, A., Huson, D. H., & Molnar, E. (1993). The classification of face‐transitive periodic three‐dimensional tilings. Acta Crystallographica Section A, 49(6), 806-817. https://doi.org/10.1107/S010876739300354X
Dress, A., Huson, D. H., and Molnar, E. (1993). The classification of face‐transitive periodic three‐dimensional tilings. Acta Crystallographica Section A 49, 806-817.
Dress, A., Huson, D.H., & Molnar, E., 1993. The classification of face‐transitive periodic three‐dimensional tilings. Acta Crystallographica Section A, 49(6), p 806-817.
A. Dress, D.H. Huson, and E. Molnar, “The classification of face‐transitive periodic three‐dimensional tilings”, Acta Crystallographica Section A, vol. 49, 1993, pp. 806-817.
Dress, A., Huson, D.H., Molnar, E.: The classification of face‐transitive periodic three‐dimensional tilings. Acta Crystallographica Section A. 49, 806-817 (1993).
Dress, Andreas, Huson, Daniel H., and Molnar, Etele. “The classification of face‐transitive periodic three‐dimensional tilings”. Acta Crystallographica Section A 49.6 (1993): 806-817.

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