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2011

Translational tilings by a polytope, with multiplicity

Gravin, Nick, Robins, Sinai, Shiryaev, Dmitry

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We study the problem of covering R^d by overlapping translates of a convex body P, such that almost every point of R^d is covered exactly k times.

Such a covering of Euclidean space by translations is called a k-tiling.
The investigation of tilings (i.e.
1-tilings in this context) by translations began with the work of Fedorov and Minkowski.

Translational tilings by a polytope, with multiplicity · Around

Built on

B. A. Venkov,
1954
Earlier work this paper cites.
E. M. Stein and G. Weiss,
1971
Earlier work this paper cites.
H. M. S. Coxeter,
1973
Earlier work this paper cites.
P. McMullen,
1975
Earlier work this paper cites.
P. McMullen,
1980
Earlier work this paper cites.

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M. N. Kolountzakis,
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E. S. Fedorov,
Cited in the paper.
H. Minkowski,
Cited in the paper.

Then

M. N. Kolountzakis,
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2005
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M. N. Kolountzakis and M. Matolcsi,
2010
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