a/3dconjecture posted by Thomas Vu 10 months ago

Author: Gil Kalai

DOI: https://doi.org/10.1007/BF01788696


A d-dimensional polytope (briefly, a d-polytope) P is centrally symmetric if x P implies (-x) P. Recall that the (proper) faces of P are the intersections of P with supporting hyperplanes. The empty set and P itself are regarded as trivial faces.


Conjecture A. Every centrally-symmetric d-polytope has at least 3d non-empty faces.

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