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math.CO2012★ 1 cited
Structure results for multiple tilings in 3D
Nick Gravin, Mihail Kolountzakis, Sinai Robins +1
We study multiple tilings of 3-dimensional Euclidean space by a convex body. In a multiple tiling, a convex body is translated with a discrete multiset in such a way that e…
math.CO2011★ 2 cited
Translational tilings by a polytope, with multiplicity
Nick Gravin, Sinai Robins, Dmitry Shiryaev
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 spac…