#8987: Add support for rational polyhedral fans
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   Reporter:  novoselt            |       Owner:  mhampton  
       Type:  enhancement         |      Status:  needs_work
   Priority:  major               |   Milestone:  sage-4.4.4
  Component:  geometry            |    Keywords:            
     Author:  Andrey Novoseltsev  |    Upstream:  N/A       
   Reviewer:  Volker Braun        |      Merged:            
Work_issues:                      |  
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Comment(by vbraun):

 I'm not sure if I understand the problem; You think its confusing to have
 `Cone.face_lattice()` and `Fan.cone_lattice()` that do similar, but not
 quite the same, things? I think thats ok, one is for working with a single
 cone and the other is for working with fans. In particular, for toric
 geometry we are only interested in the cone lattice.

 If you want to remove the `ConeFace` then thats fine with me, and
 returning a fan for the `Cone.face_lattice()` would make sense. There
 might be some issue with a circular dependency. But I don't think that its
 too confusing to have both, in particular since operations on fans will
 never return a `ConeFace` and operations on a plain `Cone` never return a
 fan.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8987#comment:22>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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