A shalfedge is a great arc on a sphere map. Figure depicts the relationship between a shalfedge and its incident shalfedges, svertices, and sfaces on a sphere map. A shalfedge is an oriented sedge between two svertices. It is always paired with a shalfedge pointing in the opposite direction. The twin() member function returns this shalfedge of opposite orientation.
The snext() member function points to the successor shalfedge around this sface while the sprev() member function points to the preceding shalfedge. An successive assignments of the form se = se>snext() cycles counterclockwise around the sface (or hole).
Similarly, the successive assignments of the form se = se>snext()>twin() cycle clockwise around the svertex and traverse all halfedges incident to this svertex. The assignment se = se>cyclic_adj_succ() can be used as a shortcut.
The role of shalfedges in a facet is illustrated in Figure . The facet() member function returns the facet in which the shalfedge is part of one of the facet cycles. The successive assignment of the form se = se>next() cycles counterclockwise around the facet (or a hole of the facet).
A const circulators is provided for each of the three circular orders. The circulators are bidirectional and assignable to SHalfedge_const_handle.
#include <CGAL/Nef_polyhedron_3.h>
The following types are the same as in Nef_polyhedron_3<Traits>.
 
type of mark.
 
 
sphere circle type stored in SHalfedge.
 
 
const handle to Halffacet.
 
 
const handle to SVertex.
 
 
const handle to SHalfedge.
 
 
const handle to SFace.

There is no need for a user to create a SHalfedge explicitly. The class Nef_polyhedron_3<Traits> manages the needed shalfedges internally.
CGAL::Nef_polyhedron_3<Traits>::Halfedge
CGAL::Nef_polyhedron_3<Traits>::Halffacet
CGAL::Nef_polyhedron_3<Traits>::SFace
CGAL::Nef_polyhedron_S2<Traits>::Sphere_circle