OrbitPolytope(G,v,L) :: PermGroup, List, List --> void

Inputs a permutation group or finite matrix group G of degree d and a rational vector v\in \mathbb R^d. In both cases there is a natural action of G on \mathbb R^d. Let P(G,v) be the convex hull of the orbit of v under the action of G. The function also inputs a sublist L of the following list of strings: ["dimension","vertex\_degree", "visual\_graph", "schlegel", "visual"]

Depending on L, the function displays the following information:\\ the dimension of the orbit polytope P(G,v);\\ the degree of a vertex in the graph of P(G,v);\\ a visualization of the graph of P(G,v);\\ a visualization of the Schlegel diagram of P(G,v);\\ a visualization of the polytope P(G,v) if d=2,3.

The function requires Polymake software.