#9810: Heisenbug in RationalPolyhedralCone.facets
------------------------+---------------------------------------------------
   Reporter:  vbraun    |       Owner:  mhampton
       Type:  defect    |      Status:  new     
   Priority:  major     |   Milestone:          
  Component:  geometry  |    Keywords:          
     Author:            |    Upstream:  N/A     
   Reviewer:            |      Merged:          
Work_issues:            |  
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 The `faces` method of a cone in a fan manages to screw up subsequent
 `facet` output:
 {{{
 sage: cone = toric_varieties.dP8().fan().generating_cone(0)
 sage: cone
 2-d cone of Rational polyhedral fan in 2-d lattice N
 sage: cone.facets()
 (1-d cone of Rational polyhedral fan in 2-d lattice N, 1-d cone of
 Rational polyhedral fan in 2-d lattice N)
 sage: cone.faces()
 ((0-d cone of Rational polyhedral fan in 2-d lattice N,), (1-d cone of
 Rational polyhedral fan in 2-d lattice N, 1-d cone of Rational polyhedral
 fan in 2-d lattice N), (2-d cone of Rational polyhedral fan in 2-d lattice
 N,))
 sage: cone.facets()
 (2-d cone of Rational polyhedral fan in 2-d lattice N,)
 }}}
 This is on vanilla Sage 4.5.2 without any patches applied. Andrey, I think
 its somewhere in your code so you'll probably find it faster than I can.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9810>
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