void run_test()
{
  typedef typename LCC::Point Point;
  typedef typename LCC::Dart_handle Dart_handle;
  
  LCC lcc;
  
  Dart_handle dh1 = lcc.
    make_hexahedron(Point(0,0,0),Point(1,0,0),
                    Point(1,2,0),Point(0,2,0),
                    Point(0,3,4),Point(0,0,4),
                    Point(6,0,4),Point(6,3,4));
  Dart_handle dh2 = lcc.
    make_hexahedron(Point(0,-5,0),Point(2,-5,0),
                    Point(2,-2,0),Point(0,-2,0),
                    Point(1,-1,5),Point(1,-2,5),
                    Point(5,-2,5),Point(5,-2,5));
  Dart_handle dh3 = lcc.
    make_hexahedron(Point(1,0,5),Point(0,0,6),
                    Point(0,2,5),Point(1,2,6),
                    Point(1,3,8),Point(0,0,8),
                    Point(5,0,9),Point(7,3,9));
  
  lcc.template sew<3>(dh1,lcc.other_orientation
                      (lcc.template opposite<2>
                       (lcc.next(lcc.next(lcc.template opposite<2>(dh2))))));
  lcc.template sew<3>(lcc.template opposite<2>(lcc.next(dh1)),
                      lcc.other_orientation(lcc.template opposite<2>(lcc.previous(dh3))));

  lcc.insert_cell_1_in_cell_2(lcc.next(dh1),
                              Alpha1<LCC>::run(lcc, lcc.previous(dh1)));
  dh2=lcc.template opposite<2>(lcc.next(lcc.next
                                        (lcc.template opposite<2>(dh1))));
  lcc.insert_cell_1_in_cell_2(dh2, Alpha1<LCC>::run
                              (lcc, lcc.next(lcc.next(dh2))));

  std::vector<Dart_handle> path;
  path.push_back(lcc.next(dh1));
  path.push_back(lcc.next(lcc.template opposite<2>(lcc.previous(dh1))));
  path.push_back(lcc.previous(dh2));
  path.push_back(lcc.next(lcc.template opposite<2>(dh2)));
  lcc.insert_cell_2_in_cell_3(path.begin(),path.end());

  lcc.display_characteristics(std::cout) << ", valid=" 
                                         << lcc.is_valid() << std::endl;  
}