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Danzer set
Set of points touching all convex bodies of unit volume / From Wikipedia, the free encyclopedia
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In geometry, a Danzer set is a set of points that touches every convex body of unit volume. Ludwig Danzer asked whether it is possible for such a set to have bounded density.[1][2] Several variations of this problem remain unsolved.[3]
Unsolved problem in mathematics:
Does a Danzer set with bounded density or bounded separation exist?
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