The Steinhaus tiling problem and the range of certain quadratic forms

Details The Steinhaus tiling problem and the range of certain quadratic forms The Steinhaus tiling problem and the range of certain quadratic forms

2000-09-22

arxiv.org/abs/math/0009207v1

Mathematics

Classical Analysis and ODEs

Scientific paper

We give a short proof of the fact that there are no measurable subsets of
Euclidean space (in dimension d > 2), which, no matter how translated and
rotated, always contain exactly one integer lattice point. In dimension d=2
(the original Steinhaus problem) the question remains open.

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