From Wikipedia, the free encyclopedia

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. [1]

References

  1. ^ Bezdek, Károly (2006). "Sphere packings revisited". European Journal of Combinatorics. 27 (6): 864–883. doi: 10.1016/j.ejc.2005.05.001. ISSN  0195-6698.
From Wikipedia, the free encyclopedia

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. [1]

References

  1. ^ Bezdek, Károly (2006). "Sphere packings revisited". European Journal of Combinatorics. 27 (6): 864–883. doi: 10.1016/j.ejc.2005.05.001. ISSN  0195-6698.

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