\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.8 - 3D Boolean Operations on Nef Polyhedra

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CGAL::Nef_polyhedron_3< Nef_polyhedronTraits_3, Nef_polyhedronItems_3 >::Vertex Class Reference
3D Boolean Operations on Nef Polyhedra Reference

`#include <CGAL/Nef_polyhedron_3.h>`

## Definition

### template<class Nef_polyhedronTraits_3, class Nef_polyhedronItems_3 = CGAL::Default_items<Nef_polyhedronTraits_3> class Nef_polyhedronMarks = bool>
class CGAL::Nef_polyhedron_3< Nef_polyhedronTraits_3, Nef_polyhedronItems_3 >::Vertex

A vertex is a point in the 3-dimensional space.

Its incidence structure can be accessed creating a sphere map of the vertex. This is done by the member function `Nef_polyhedron_3::get_sphere_map()`.

Creation

There is no need for a user to create a `Vertex` explicitly. The class `Nef_polyhedron_3<Traits>` manages the needed vertices internally.

See Also
  `CGAL::Nef_polyhedron_3<Traits>`
  `CGAL::Nef_polyhedron_S2<Traits>`

## Types
The following types are the same as in `Nef_polyhedron_3<Traits>`.
typedef unspecified_type | Mark
| type of mark.
typedef unspecified_type | Point_3
| point type stored in Vertex.

## Operations
const Mark & | mark () const
| the mark of `v` .
const Point_3 & | point () const
| the point of `v` .