#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 would be in favor of removing `ambient_dim`. As you say, we'd then have
   * `self.ambient().dim()`
   * `self.lattice().dim()`
 On a related note, the dimension of the toric variety is currently
 `ToricVariety_field.dimension()`. Maybe we can shorten that to `dim()` as
 well to be consistent?

 For the output I also think that the verbose option is best. Maybe we can
 abbreviate the "Dimension", that would save space yet remain informative:
 {{{
 sage: cone
 2d cone in 3d lattice N
 sage: cone_face
 1d face of 2d cone in 3d lattice N
 sage: fan
 Rational polyhedral fan in 3d lattice N
 sage: fan_face
 1d cone of Rational polyhedral fan in 3d lattice N
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8987#comment:40>
Sage <http://www.sagemath.org>
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