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Minkowski Convex Body Theorem

A bounded plane convex region symmetric about a Lattice Point and with Area $>4$ must contain at least three Lattice Points in the interior. In $n$-D, the theorem can be generalized to a region with Area $>2^n$, which must contain at least three Lattice Points. The theorem can be derived from Blichfeldt's Theorem.

See also Blichfeldt's Theorem




© 1996-9 Eric W. Weisstein
1999-05-26