Permutohedron

A permutohedron is a geometric structure that represents all possible permutations of a set of elements. Specifically, it is a type of polytope in which each vertex corresponds to a distinct permutation of a given set of integers. In more detail, the permutohedron can be defined as follows: 1. **Vertices**: Each vertex of the permutohedron corresponds to a unique permutation of a set of \(n\) elements.