affine dependencies of a polytope

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Lai
Posts: 1
Joined: 02 Jul 2019, 02:26

affine dependencies of a polytope

Postby Lai » 02 Jul 2019, 02:57

Hello,

I am new to polymake, and computing in general, so I apologize if this is an easy fix.

I am trying to compute the affine dependencies of a polytope P=conv(x1,..,x_n).

So by this I mean identifying the maximal affinely independent subset of the vertex set {x_1,...,x_n}, and then expressing the remaining vertices as affine combinations of this independent subset. Thus obtaining a list of equations or "affine dependencies".

I am wondering if there is an easy way to do this using some polymake functions?

Thank you very much!

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