Computing perimeter, surface area, diameter ...

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Gilles Bonnet
Posts: 5
Joined: 10 Feb 2015, 19:02

Computing perimeter, surface area, diameter ...

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
Developer
Posts: 74
Joined: 12 Oct 2011, 15:52
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Re: Computing perimeter, surface area, diameter ...

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).
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Gilles Bonnet
Posts: 5
Joined: 10 Feb 2015, 19:02

Re: Computing perimeter, surface area, diameter ...

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