#8709: polyhedra level set doctest failure
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   Reporter:  jhpalmieri  |       Owner:  mhampton
       Type:  defect      |      Status:  new     
   Priority:  major       |   Milestone:  sage-4.4
  Component:  geometry    |    Keywords:          
     Author:              |    Upstream:  N/A     
   Reviewer:              |      Merged:          
Work_issues:              |  
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Comment(by novoselt):

 It looks like some sorting issue. I personally think that it would be nice
 to have some standard sorting of faces (and it is nice to have this
 sorting documented).

 !LatticePolytope's sort faces of dimension 0 according to the generating
 vertices (so that the i-th 0-dimensional face is generated by the i-th
 vertex) and codimension 1 faces according to the containing facets (so
 that the i-th codimension-1 face is contained in the i-th facet). I think
 that these ways of sorting are very natural and it would be nice to have
 the same for Polyhedra with its V- and H-representations. For other faces
 there is probably no "canonical" choice, but it would be nice to have
 something fixed. (Middle dimensional faces of !LatticePolytope's are
 sorted using one of the above ways, depending on working with an "initial
 polytope" or its polar - this is done to preserve polar duality of faces
 for reflexive polytopes.)

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8709#comment:1>
Sage <http://www.sagemath.org>
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