CGAL users discussion list

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I am interested in knowing how general the Triangulation_3 class is.  It 
requires that the triangulation be a triangulation of a 4-sphere;  the basic 
idea is that the triangulation is a finite triangulation of some convex body 
together with a point at infinity.

In some cases it would be possible to extend a tetrahedral mesh of a 
nonconvex body to a mesh of the convex hull of the mesh vertices, but I 
believe it is not always possible to do this without adding new vertices.  
For example, consider a tetrahedral mesh with a hole in the shape of a 
Schonhardt polyhedron.

Is there a known way to use Triangulation_3 to represent arbitrary conformal 
tetrahedral meshes by ignoring validity checks or adding tetrahedra and 
vertices to the mesh?

I noticed that "3D Triangulations and Meshes" is a work in progress.  Should 
I wait for that item to be completed?  What is the current status of that 
development item?

Thanks much,
Evan VanderZee
Mathematics/CSE Graduate Student
University of Illinois at Urbana-Champaign