Translational tilings by a polytope, with multiplicity-Reference-Cited by-同舟云学术

Translational tilings by a polytope, with multiplicity

Published:2012-12 Issue:6 Volume:32 Page:629-649
ISSN:0209-9683
Container-title:Combinatorica
language:en
Short-container-title:Combinatorica

Author:

Gravin Nick,Robins Sinai,Shiryaev Dmitry

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,Discrete Mathematics and Combinatorics

Link

http://link.springer.com/content/pdf/10.1007/s00493-012-2860-3.pdf

Reference20 articles.

1. A. D. Alexandrov: Convex polyhedra, Gosudarstv. Izdat. Tehn.-Teor. Lit., Moscow-Leningrad (1950), Akademie-Verlag, Berlin (1958), reprinted in English, by Springer-Verlag, Berlin (2005).

2. R. Diaz, Quang-Nhat Le, and S. Robins: A Fourier-analytic approach to solid angle sums over polytopes, preprint.

3. B. Gordon: Mutiple tilings of Euclidean space by unit cubes, Computers and Mathematics with Applications 39 (2000), 49–53.

4. H. M. S. Coxeter: Regular polytopes, 2nd ed., MacMillan, New York (1963), 3rd ed., Dover, New York (1973).

5. E. S. Fedorov: The symmetry of regular systems of figures, Zap. Miner. Obshch. 21 (1885), 1–279; in Russian.

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