Computing perimeter, surface area, diameter ...

[Gilles Bonnet]

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.

[assarf]

Hi there,

at the moment there is nothing of those properties implemented except for VOLUME (which only works for full dimensional polytopes and is the area when your polytope is 2-dimensional).

[Gilles Bonnet]

oh too bad! Thanks for your answer anyway. And thanks again for the work on this program. It is a great tool!