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A halffacet is an oriented, rectilinear bounded part of a plane. The following figure depicts the incidences to halfedges, vertices and the notion of facet cycles.
The member function twin returns the opposite halffacet, incident_volume returns the incident volume. A Halffacet cycle either consists of consecutive shalfedges along the border (or a hole) of the halffacet, or of a single shalfloop on the sphere map of a vertex isolated on the halffacet. The iterator range (halffacet_cycles_begin()/halffacet_cycles_end()) provides an entry element for each halffacet cycle of a halffacet.
#include <CGAL/Nef_polyhedron_3.h>
The following types are the same as in Nef_polyhedron_3<Traits>.
There is no need for a user to create a Halffacet explicitly. The class Nef_polyhedron_3<Traits> manages the needed halffacets internally.
| Mark | f.mark () const | the mark of f . |
| Plane_3 | f.plane () const | the supporting plane of f . |
| Halffacet_const_handle | f.twin () const | the twin of f . |
| Volume_const_handle | f.incident_volume () const | the incident volume of f . |
| Halffacet_cycle_const_iterator | f.facet_cycles_begin () const | iterator over the entries to all halffacet cycles of f . |
| Halffacet_cycle_const_iterator | f.facet_cycles_end () const | past-the-end iterator. |
CGAL::Nef_polyhedron_3<Traits>::Volume
CGAL::Nef_polyhedron_3<Traits>::Halfedge
CGAL::Nef_polyhedron_3<Traits>::SHalfedge