#7109: [with patch, needs review] polyhedra bugs with linearities, rewrite
proposal
---------------------------+------------------------------------------------
   Reporter:  vbraun       |       Owner:  mhampton    
       Type:  enhancement  |      Status:  needs_review
   Priority:  major        |   Milestone:  sage-feature
  Component:  geometry     |    Keywords:  polyhedra   
Work_issues:               |      Author:              
   Reviewer:               |      Merged:              
---------------------------+------------------------------------------------

Comment(by mhampton):

 I don't think that the speed difference is entirely due to the correct
 handling of equalities - even for bounded polyhedra described by either
 vertices or inequalities it is slower by the factor of 2 to 3.  Maybe the
 list caching won't help this much, but then I wonder what is really
 responsible.

 I agree, the linearities keyword was very fragile and often didn't work
 correctly, so perhaps its not necessary to keep it at all.

 For back-compatibility I will add back the render_wireframe, render_solid,
 and schlegel_projection methods of Polyhedron.  We could put in
 deprecation warnings advising people to switch to the new functions for
 projections and rendering.  I would also like to make the new rendering
 commands more flexible, so that one can choose to display any combination
 of vertices, edges, and/or faces.  I am happy to do all that.

 Looks like there are some other older methods missing, like
 simplicial_complex, but I haven't looked at all of them in detail yet.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7109#comment:19>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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