Permutohedron

The permutohedron is the -dimensional generalization of the hexagon. The -permutohedron is the convex hull of all permutations of the vector in . The number of vertices is .

See also

Associahedron, Cyclohedron, Hexagon, Polytope

This entry contributed by Bryan Jacobs

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References

Hohlweg, C. and Lange, C. "Realizations of the Associahedron and Cyclohedron." 2 Dec 2005. http://arxiv.org/abs/math.CO/0510614.Postnikov, A. "Permutohedra, Associahedra, and Beyond." http://www-math.mit.edu/~apost/papers/permutohedron.pdf.Starck, M. "3D Representations." http://www.ac-noumea.nc/maths/amc/polyhedr/3D-img_.htm.

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Jacobs, Bryan. "Permutohedron." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/Permutohedron.html

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