The following variant of the tutorial code is more generic and thus probably even better suited for your needs: You can add as many properties as you like.

Please give more details: which polymake version on which operating system are you running? Which visualization backend?

Also please give the entire sequence of commands leading to the error.

Yes, inequalities and equalities are kept seperate. You can use them in the way you described as input (by specifying INEQUALITIES and maybe EQUATIONS), but FACETS and AFFINE_HULL give irredundant output.

I am glad you found something useful in polymake. Let me point out that polymake scripts differ slightly from general perl scripts. They should start out with something like use application "polytope"; to set the scope (i.e., the active application). polymake's determinant function lives in the appl...

Is there a way to tell polymake to use the polymake det function? This is impossible to answer without seeing your script. I do not know about pdl. That is, if you would post that script, it might require a bit of explanation. If not, is there is an efficient way to compute the multiplicity of a se...

I should say that is outdated now. In version 4.0 this was replaced by ; no perl:: anymore.

To get an idea I would recommend to look at code in polymake's source, e.g., normal_fan.cc. While that is about a different big object type, its use is similar.

... I can now tell you that polymake 4.0r1 will be in Fedora 32 ...

That's excellent! thanks for your effort. -- Michael

Via SCIP (and tosimplex) polymake can solve arbitrary (mixed) integer linear programs.
Please look at the code for MIN_WEIGHTS in apps/fan/rules/subdivision.rules for an example which you can modify to your needs.

polymake 4.0 comes with a new function which solves your very problem! fan > print $HC33->MIN_WEIGHTS; polymake: used package scip SCIP - Solving Constraint Integer Programs SCIP is a solver for Mixed Integer Linear and Nonlinear Problems that allows for an easy integration of arbitrary constraints....

This is to announce the release of polymake 4.0. We bumped up the version major number in order to mark a few breaking changes, which resulted in some major reshuffling behind the scenes. However, most of these will only affect the programmers among the polymake users: * Data file format switched fr...