Testing for affine mapping between two polytopes

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xammy
Posts: 9
Joined: 07 Mar 2011, 17:32

Testing for affine mapping between two polytopes

Postby xammy » 13 Sep 2012, 14:14

Hi,

is there any method (at best implemented in Polymake) that, given two polytopes P,Q, checks whether there exists an affine linear map pi with P = pi(Q)?

herr
Developer
Posts: 40
Joined: 30 Dec 2010, 13:15

Re: Testing for affine mapping between two polytopes

Postby herr » 14 Sep 2012, 08:55

Unfortunately, there is no such method available in polymake. It is possible to compute the linear symmetries of a polytope via the user function linear_symmetries which wraps functionality of sympol. Using sympol directly, you could compute the linear symmetries of both polytopes and compare the resulting graphs. I guess it is not so easy to ask for affine symmetries, though.


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