Math 2.0

Conjecture

Kalai's 3^d conjecture

Statement

In geometry, more specifically in polytope theory, Kalai's 3d conjecture is a conjecture on the polyhedral combinatorics of centrally symmetric polytopes, made by Gil Kalai in 1989. 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).

Further reading

  1. Wikipedia, page 39408412, revision 1364111300, Kalai's 3^d conjecture. adopted
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Tag5CRY9ZK4Y2
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Aliasesfull-flag-conjecture, kalais-3d-conjecture
Kindconjecture
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Changed4 November 2026

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