#16045: Polytope volume function engines produce different results
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   Reporter:  wishcow   |            Owner:
       Type:  defect    |           Status:  new
   Priority:  minor     |        Milestone:
  Component:  geometry  |         Keywords:  polytope, volume, lrs_volume
  Merged in:            |          Authors:
  Reviewers:            |  Report Upstream:  N/A
Work issues:            |           Branch:
     Commit:            |     Dependencies:
   Stopgaps:            |
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 The lrs engine for polytope volume calculates volume respective to the
 dimension of the polytope,
 while the auto engine calculates volume respective to the dimension of the
 ambient space.

 Example:


 {{{
 m3 = matrix(ZZ, [[0,0,0],[0,0,1]])
 p = Polyhedron(m3)
 p.volume(engine="lrs")
 p.volume()

 1.0
 0
 }}}

 (Note: The lrs behavior actually has some benefits, since it allows
 calculation of volumes of facets without reducing the dimension of the
 ambient space.)

--
Ticket URL: <http://trac.sagemath.org/ticket/16045>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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