#11759: octahedron() and dodecahedron() produce "non-enclosed" polyhedra
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   Reporter:  kini      |          Owner:  jason, was                           
         
       Type:  defect    |         Status:  new                                  
         
   Priority:  major     |      Milestone:  sage-4.7.2                           
         
  Component:  graphics  |       Keywords:  platonic octahedron icosahedron 
enclosed edges
Work_issues:            |       Upstream:  N/A                                  
         
   Reviewer:            |         Author:                                       
         
     Merged:            |   Dependencies:                                       
         
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 {{{
 sage: tetrahedron().edges()
 <sage.plot.plot3d.index_face_set.EdgeIter object at 0x6187af0>
 sage: cube().edges()
 <sage.plot.plot3d.index_face_set.EdgeIter object at 0x618c4b0>
 sage: octahedron().edges()
 ---------------------------------------------------------------------------
 TypeError                                 Traceback (most recent call
 last)

 /home/fs/<ipython console> in <module>()

 /opt/sage/local/lib/python2.6/site-
 packages/sage/plot/plot3d/index_face_set.so in
 sage.plot.plot3d.index_face_set.IndexFaceSet.edges
 (sage/plot/plot3d/index_face_set.c:5359)()

 /opt/sage/local/lib/python2.6/site-
 packages/sage/plot/plot3d/index_face_set.so in
 sage.plot.plot3d.index_face_set.EdgeIter.__init__
 (sage/plot/plot3d/index_face_set.c:9605)()

 TypeError: Must be closed to use the simple iterator.
 sage: dodecahedron().edges()
 <sage.plot.plot3d.index_face_set.EdgeIter object at 0x6178370>
 sage: icosahedron().edges()
 ---------------------------------------------------------------------------
 TypeError                                 Traceback (most recent call
 last)

 /home/fs/<ipython console> in <module>()

 /opt/sage/local/lib/python2.6/site-
 packages/sage/plot/plot3d/index_face_set.so in
 sage.plot.plot3d.index_face_set.IndexFaceSet.edges
 (sage/plot/plot3d/index_face_set.c:5359)()

 /opt/sage/local/lib/python2.6/site-
 packages/sage/plot/plot3d/index_face_set.so in
 sage.plot.plot3d.index_face_set.EdgeIter.__init__
 (sage/plot/plot3d/index_face_set.c:9605)()

 TypeError: Must be closed to use the simple iterator.
 }}}

 The octahedron and the icosahedron are of course (closed) polyhedra. The
 problem is, I guess, that the `dual()` function which creates them is not
 checking enclosedness and passing it on when generating the dual object.

 Marking this ticket as "graphics" since it involves stuff in
 `$SAGE_ROOT/devel/sage/sage/plot/plot3d/`.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11759>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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