Hostname: page-component-76fb5796d-wq484 Total loading time: 0 Render date: 2024-04-29T21:50:41.409Z Has data issue: false hasContentIssue false

69.14 Space filling with identical symmetrical solids

Published online by Cambridge University Press:  01 August 2016

Branko Grünbaum
Affiliation:
University of Washington, GN-50 Seattle, WA 98195, U.S.A.
G. C. Shephard
Affiliation:
University of East Anglia, Norwich NR4 7TJ

Abstract

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Notes
Copyright
Copyright © Mathematical Association 1985

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Danzer, Ludwig, Branko Grünbaum and G. C. Shephard, Does every type of polyhedron tile three-space?, Structural Topology 8, 314 (1983).Google Scholar
2. Engel, Peter, Über Wirkungsbereichsteilungen von kubischer Symmetrie, Zeitschrift für Kristallographie 154, 191215 (1981).Google Scholar
3. Fedorov, E. S., An introduction to the theory of figures, Notices of the Imperial Mineralogical Society (St. Petersburg) Ser. 2, Vol. 21 (1885). Republished with comments by Akad. Nauk. SSSR, Moscow 1953. In Russian.Google Scholar
4. Föppl, L., Der Fundamentalbereich des Diamantgitters, Physikalische Zeitschrift 15, 191193(1914).Google Scholar
5. Grünbaum, Branko and Shephard, G. C., Some comments on “Juxtapositions”. Structural Topology 3, 5861.Google Scholar
6. Grünbaum, Branko and Shephard, G. C., Tilings with congruent tiles. Bulletin of the American Mathematical Society (New Series) 3, 951973 (1980).Google Scholar