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?
>>
>

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