Can polymake compute all triangulations of a pointset?

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done-with-fish
Posts: 16
Joined: 12 Feb 2015, 21:44

Can polymake compute all triangulations of a pointset?

Postby done-with-fish » 07 Dec 2015, 23:41

I have a large number of pointsets. I want to write a script that finds all triangulations of each pointset. Can this be done within polymake? I'm aware that TOPCOM has this capability, but I'd like to accomplish this within a polymake script I'm writing.

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joswig
Main Author
Posts: 280
Joined: 24 Dec 2010, 11:10

Re: Can polymake compute all triangulations of a pointset?

Postby joswig » 08 Dec 2015, 09:38

Beware that TOPCOM has two functions, one for computing all triangulations and a second one which computes those which are regular or related to a regular one by a sequence of flips.

Only the latter is interfaced by polymake.
Provided that TOPCOM is installed and configured you can, e.g., do from application polytope:

Code: Select all

$t=topcom_all_triangulations(cube(3)); print $t;
However, our current interface cannot use TOPCOM's capability of taking symmetry into account. That would be a welcome addition to our features.

Do you want to volunteer?

done-with-fish
Posts: 16
Joined: 12 Feb 2015, 21:44

Re: Can polymake compute all triangulations of a pointset?

Postby done-with-fish » 08 Dec 2015, 18:02

Thanks for the reply.

I have topcom on my system but I haven't configured it to work with polymake. Is this anywhere in the documentation?

done-with-fish
Posts: 16
Joined: 12 Feb 2015, 21:44

Re: Can polymake compute all triangulations of a pointset?

Postby done-with-fish » 08 Dec 2015, 20:18

Ahh, I figured it out.

I'd be glad to volunteer to contribute!


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