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a/3dconjecture posted by Polymath Projects 1 month ago

In geometry, Kalai's 3d conjecture is a conjecture on the polyhedral combinatorics of centrally symmetric polytopes, made by Gil Kalai in 1989.[1] It states that every d-dimensional centrally symmetric polytope has at least 3d nonempty faces (including the polytope itself as a face but not including the empty set).

 

Unsolved problem in mathematics:

Does every d-dimensional centrally symmetric polytope have at least 3d nonempty faces?

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