#10148: Automorphism group of a Polyhedron
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   Reporter:  vbraun              |       Owner:  mhampton    
       Type:  enhancement         |      Status:  needs_review
   Priority:  major               |   Milestone:  sage-feature
  Component:  geometry            |    Keywords:              
     Author:  Volker Braun        |    Upstream:  N/A         
   Reviewer:  Andrey Novoseltsev  |      Merged:              
Work_issues:                      |  
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Changes (by vbraun):

  * status:  needs_work => needs_review


Comment:

 I'm planning to make `_is_zero`, `_is_nonneg` and `_is_positive` into
 overloaded methods when I split up `Polyhedron` into different backends.
 But first I wanted to commit the outstanding patches I have.

 I'm not sure that labeling the edges with the number of lattice points
 restricts to the lattice Euclidean group automatically. Can't you still
 map a minimal 2-d triangle, say, to one with an interior point (but no
 lattice point on the edges)? Thats of course not a counterexample, but its
 not clear to me that that might not happen on faces of higher-dimensional
 polyhedra...

 Updated patch for 1. and 3. is attached. I've also added a
 `combinatorial_automorphism_group()` method to compare with.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10148#comment:12>
Sage <http://www.sagemath.org>
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