#9839: Add dual cone computation
---------------------------+------------------------------------------------
   Reporter:  novoselt     |       Owner:  mhampton  
       Type:  enhancement  |      Status:  new       
   Priority:  major        |   Milestone:  sage-4.5.3
  Component:  geometry     |    Keywords:            
     Author:               |    Upstream:  N/A       
   Reviewer:               |      Merged:            
Work_issues:               |  
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 This patch allows computing dual cones, including non-strictly convex and
 non-full-dimensional cases.

 The actual work is done in `facet_normals` which now works for non-
 strictly convex cones as well. The method `base_extend` for quotient
 lattices was added during one of the implementation attempts and I left it
 for future use as well (the hope was to create cones in quotient lattices,
 but it does not work yet).

 There is still a dimension 6 limitation stemming from PALP for computing
 duals and facet normals. This is still our best option for low dimension,
 but perhaps it would be nice if `facet_normals` caught the exception when
 PALP does not work and used polyhedra module in this case. Then computing
 the dual cone and face lattices should work automatically.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9839>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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