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69.14 Space filling with identical symmetrical solids

Published online by Cambridge University Press:  01 August 2016

Branko Grünbaum  and
G. C. Shephard
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
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Notes
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The Mathematical Gazette , Volume 69 , Issue 448 , June 1985 , pp. 117 - 120
Copyright
Copyright © Mathematical Association 1985

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References

1. Danzer, Ludwig, Branko Grünbaum and G. C. Shephard, Does every type of polyhedron tile three-space?, Structural Topology 8, 3–14 (1983).Google Scholar
2. Engel, Peter, Über Wirkungsbereichsteilungen von kubischer Symmetrie, Zeitschrift für Kristallographie 154, 191–215 (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, 191–193(1914).Google Scholar
5. Grünbaum, Branko and Shephard, G. C., Some comments on “Juxtapositions”. Structural Topology 3, 58–61.Google Scholar
6. Grünbaum, Branko and Shephard, G. C., Tilings with congruent tiles. Bulletin of the American Mathematical Society (New Series) 3, 951–973 (1980).Google Scholar