How can I compute the plane equation (normal) for a facet in a polyhedral surface?
The plane() member function in facets does not compute the plane equation, it is only the access to function to the variable stored in facets. The plane equations must be computed separately by the user. There is currently no general method available in CGAL that computes the plane equations, since the requirements could vary considerably with the number type chosen or the possible knowledge of the facet types (convex, triangles, …). Assuming strictly convex facets and exact arithmetic (or the willingness to live with rounding errors), the example
