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

CGAL 4.8 - 3D Polyhedral Surface

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Polyhedron/polyhedron_prog_off.cpp
#include <CGAL/Simple_cartesian.h>
#include <CGAL/Polyhedron_3.h>
#include <iostream>
typedef CGAL::Simple_cartesian<double> Kernel;
typedef Kernel::Point_3 Point_3;
typedef CGAL::Polyhedron_3<Kernel> Polyhedron;
typedef Polyhedron::Facet_iterator Facet_iterator;
typedef Polyhedron::Halfedge_around_facet_circulator Halfedge_facet_circulator;
int main() {
Point_3 p( 0.0, 0.0, 0.0);
Point_3 q( 1.0, 0.0, 0.0);
Point_3 r( 0.0, 1.0, 0.0);
Point_3 s( 0.0, 0.0, 1.0);
Polyhedron P;
P.make_tetrahedron( p, q, r, s);
// Write polyhedron in Object File Format (OFF).
CGAL::set_ascii_mode( std::cout);
std::cout << "OFF" << std::endl << P.size_of_vertices() << ' '
<< P.size_of_facets() << " 0" << std::endl;
std::copy( P.points_begin(), P.points_end(),
std::ostream_iterator<Point_3>( std::cout, "\n"));
for ( Facet_iterator i = P.facets_begin(); i != P.facets_end(); ++i) {
Halfedge_facet_circulator j = i->facet_begin();
// Facets in polyhedral surfaces are at least triangles.
CGAL_assertion( CGAL::circulator_size(j) >= 3);
std::cout << CGAL::circulator_size(j) << ' ';
do {
std::cout << ' ' << std::distance(P.vertices_begin(), j->vertex());
} while ( ++j != i->facet_begin());
std::cout << std::endl;
}
return 0;
}