permutahedron

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A form of permutohedron — A polytope with n-1 dimensions that is embedded in an n-dimensional space, its vertices formed by permuting the coordinates of the vector (1, 2, 3, ..., n).

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Meanings

nounpermutahedron (plural permutahedrons)

plural permutahedrons

  1. alternativeAlternative form of permutohedron.

    To prove it, we consider the poset of ordered partitions, properties of the permutahedron, and some good old fashioned combinatorial techniques..

    2015, Erik Insko, Katie Johnson, Shaun Sullivan, “A Terrible Expansion of the Determinant”, in arXiv
Cite this entry
APA

permutahedron. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/permutahedron

MLA

“permutahedron.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/permutahedron. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “permutahedron,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/permutahedron.

Source: permutahedron on Wiktionary, CC BY-SA 4.0.