Draft:Truncated octahedral conjecture

The truncated octahedral conjecture in geometry is intimately related to the Kelvin problem.

Károly Bezdek conjectured in 2006 that the surface area of any parallelohedron of volume 1 cannot be less than that of the truncated octahedral Voronoi cell of the body-centered cubic lattice of volume 1, in Euclidean three space.