18-786s06-th.jpg

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Illustration of Minkowski's theorem.
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Some important properties of algebraic numbers follow from Minkowski’s theorem: given a lattice in a Euclidean space, any bounded, convex, centrally symmetric region of large enough volume contains a nonzero lattice point. (Image courtesy of Jesus De Loera, Department of Mathematics, University of California, Davis. Used with permission.)
Illustration of Minkowski's theorem.

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