Thank you for the response. I'm not quite sure what you mean by "pull them back along the embedding of a subspace containing the polytope to get a full one."
For example, I currently have a 10-dimensional polytope that is located in QQ^18. How would I bring this polytope into 10-dimensional space so that I can use LRS to calculate its volume? On Wednesday, February 23, 2022 at 1:28:40 PM UTC-5 Nils Bruin wrote: > Did you check the lrs documentation: > http://cgm.cs.mcgill.ca/~avis/C/lrslib/USERGUIDE.html#Volume%20Computation > ? It only mentions volumes of full polytopes. You could of course project > the vertices yourself or pull them back along the embedding of a subspace > containing the polytope to get a full one. Then it would be your own > responsibility of choosing a basis that expresses the appropriate measure. > > On Wednesday, 23 February 2022 at 07:57:34 UTC-8 adva...@gmail.com wrote: > >> Hi All, >> >> I aim to calculate the volumes of not-full dimensional polytopes. Using >> ambient measure, the volume is always 0. So, I want to use induced measure. >> At the same time, though, I also want the engine to be Lrs. >> >> If I just do .volume(engine = 'lrs'), I always get 0. Is this an error? >> Or is this because the system is using ambient measure for the volume? >> >> To try and fix the issue, I want to have both induced measure and lrs >> engine. However, when I input something like .volume(measure = 'induced', >> engine = 'lrs'), I get an error. Is there some way for me to get both? >> > -- You received this message because you are subscribed to the Google Groups "sage-devel" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-devel+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-devel/3a86b1af-3cff-4cdd-8001-8ee200d1fe35n%40googlegroups.com.