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math.MG2012
Convex curves and a Poisson imitation of lattices
Nick Gravin, Fedor Petrov, Sinai Robins +1
We solve a randomized version of the following open question: is there a strictly convex, bounded curve γin the plane such that the number of rational points on γ, with denominator…
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…