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Blichfeldt's Theorem

Published in 1914 by Hans Blichfeldt. It states that any bounded planar region with Positive Area $>A$ placed in any position of the Unit Square Lattice can be Translated so that the number of Lattice Points inside the region will be at least $A+1$. The theorem can be generalized to $n$-D.

© 1996-9 Eric W. Weisstein