What is "permutohedron"

n. (context mathematics English) An polytope with ''n''-1 dimensions that is embedded in an n-dimensional space, its vertex formed by permute the coordinates of the vector (1, 2, 3, ..., ''n'').

In mathematics, the permutohedron of order n (also spelled permutahedron) is an (n − 1)-dimensional polytope embedded in an n-dimensional space, the vertices of which are formed by permuting the coordinates of the vector (1, 2, 3, ..., n).