#4164: [with patch, needs work] 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 mhampton):

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

Comment:

 This passed all tests, and seems to work well for 3D polytopes, which was
 the original request.  It does fail for some 4D polytopes, for example for
 one with vertices:
 {{{[[99, 19, 38, 0],
  [-85, -86, -72, 0],
  [11, 31, 97, 0],
  [61, 99, 28, 0],
  [-50, -85, -90, 0],
  [-29, -56, 96, 0],
  [-48, 56, -83, 0],
  [97, -42, 60, 0],
  [-77, 73, 28, 0],
  [41, -92, 27, 0],
  [-34, 82, -58, 0],
  [-81, 37, -93, 0],
  [-96, 6, 11, 0],
  [-93, 66, 88, 0],
  [-35, -84, 77, 0],
  [82, 83, -66, 0],
  [-68, -72, -99, 0],
  [89, -96, -97, 0],
  [84, -92, -46, 0],
  [88, 67, -18, 0],
  [28, 93, 73, 0],
  [-97, -14, -84, 0],
  [97, 15, -61, 0],
  [39, 92, -36, 0],
  [-40, 99, 41, 0],
  [-39, 56, 99, 0],
  [-96, -85, -35, 0],
  [-48, -18, 99, 0],
  [91, 69, -95, 0],
  [-73, 60, -36, 0],
  [-65, -99, -32, 0],
  [100, 4, 65, 0],
  [32, 17, 94, 0],
  [-86, -93, 34, 0],
  [83, 48, -100, 0],
  [75, -75, 100, 0],
  [0, 0, 0, 1]]
 }}}
 I am happy to work on that if you (Arnaud) want; I didn't figure out why
 it fails on that example.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4164#comment:8>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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