forum.polymake.org

Hello everyone.
So far I have been using Mathematica for simple operations on lattice polytopes (as matrices where each column represents a vertex). I have been mapping them around, and checking their widths in a given direction.

Now I need to use more complex operations, such as finding the h-description of polytopes, and finding the convex hull of the interior lattice points and express it as the convex hull of its extreme points. After searching around, I found polymake. One major problem is that I use windows, and is unable to fully use polymake besides the interactive version. I might be able to overcome this problem, but another problem is having to rewrite what I have in polymake.

My basic question is, is it possible to write functions in polymake, and use it in Mathematica. For example, say I have a matrix representing a polytope, and I want to evaluate the half spaces representation of it in polytope, how hard would this be?

I guess the biggest problem is that you are on Windows. While it might be possible to use the callable library to somehow connect Mathematica and polymake, I doubt, you will get polymake up and running natively on Windows. Maybe the easiest way is to transfer data between Mathematica and polymake through files.

Best regards,
Thomas

Thank you for the reply.
I'm guessing that trying to write the corresponding algorithms for those functions in mathematica is difficult.