permutohedron

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noun

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

nounpermutohedron (plural permutohedra)

plural permutohedra · alternative permutahedron

  1. mathematicsA 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).

Origin

From permute + -o- + -hedron.

Full word history & related roots →
Cite this entry
APA

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

MLA

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

Chicago

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

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