An order 4 permutohedron.

An order 4 permutohedron.

Quoting Wikipedia, “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). More generally, the term describes any polyhedron which is the convex hull of a free orbit of the symmetric group Sn acting naturally on R^n. The edge-graph of any permutohedron is the Cayley graph of Sn with respect to the generating set of adjacent transpositions (1,2), … , (n − 1,n).”

Mathematics is beautiful. <3

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