Dear all,

I am studying some random polytopes. With Polymake I can easily simulate some realisations of them. I would like to have information about the principal functional.

So in 2 dimensions: the perimeter, the area and the diameter (maximal distance between two vertices).

And in higher dimensions: the volume, the surface area, the mean-width, the other intrinsic volumes, and the diameter.

I think I have seen that i can have the volume of a given polytope. Is it also possible to get the other functionals and how?

Many thanks and regards!

Gilles.