CGAL users discussion list

Dear Matthijs,

I am not sure I understand what you need. Which kind of objects are you 
trying to triangulate?
The data structure is in fact able to store more than a triangulation of 
the sphere in 4D. We are re-using it for storing the triangulation of a 
torus in 4D (3D periodic space).
Do you need triangulations with boundaries? The CGAL triangulations have 
some properties, like for instance the fact that each facet is common to 
two tetrahedra. So, no boundaries.

        Monique Teillaud

Matthijs Sypkens Smit wrote:
> Hi all,
>
> It seems that the CGAL Triangulation_3 does not support holes. When I build 
> such a triangulation by manipulation the data_structure "by hand", then 
> the validity check on the data structure fails with "Euler relation 
> unsatisfied". I guess that could be expected since the manual mentions how 
> the triangulation is actually a covering of the 4D sphere.
>
> Can anyone comment on the problems of using the CGAL Triangulation for 
> genus > 0 objects? It is at least possible to traverse the object. Could I 
> disable the check for conformity to the Euler relation and have something 
> workable, or would I be bound to run into troubles along the road?
>
> If so, are there plans to support such triangulations in the future?