#4164: [with patch, needs review] Make triangulated_facial_incidences() work in
all cases
----------------------+-----------------------------------------------------
 Reporter:  anakha    |        Owner:  anakha    
     Type:  defect    |       Status:  assigned  
 Priority:  major     |    Milestone:  sage-3.1.3
Component:  graphics  |   Resolution:            
 Keywords:            |  
----------------------+-----------------------------------------------------
Changes (by anakha):

  * summary:  [with patch, needs work] Make
              triangulated_facial_incidences() work in all
              cases => [with patch, needs review] Make
              triangulated_facial_incidences() work in all
              cases

Comment:

 I now consider the general case to be impossible.  I don't have a formal
 proof for that though, only experience.  I had almost fixed all of the
 problems with your 4D example and just to test, tried it with a 5D
 example.  This broke a lot of things. I kind of realized that even if I
 managed to fix the 5D case, there would be still more problems in nD (for
 any n > 5).

 So I restricted the input to polyhedrons of three dimensions or less which
 works fine and is sensible.  It also fits better with the original
 function definition which was to produce only triangles.

 Any attempt to make a more general version of this should go in a separate
 ticket/patch and have a different function name.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4164#comment:10>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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