2
a/3dconjecture posted by Thomas Vu 1 month 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.

Log in or sign up to leave a comment     
Log in
Sign up