# permutohedron

> English word · Noun

## Definitions
1. 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).

## Etymology
From permute + -o- + -hedron.

## Source
Compiled from Wiktionary via kaikki.org (CC BY-SA). Data vintage: 2026-05-06.
Canonical page: https://plainspell.com/en/word/permutohedron