diff --git a/Triangulation_on_sphere_2/include/CGAL/Regular_triangulation_on_sphere_2.h b/Triangulation_on_sphere_2/include/CGAL/Regular_triangulation_on_sphere_2.h
index 0aa78c62fdf..5c7c1cb5e8e 100644
--- a/Triangulation_on_sphere_2/include/CGAL/Regular_triangulation_on_sphere_2.h
+++ b/Triangulation_on_sphere_2/include/CGAL/Regular_triangulation_on_sphere_2.h
@@ -76,7 +76,7 @@ public:
   using Base::EDGE;
   using Base::OUTSIDE_CONVEX_HULL;
   using Base::orientation;
-  using Base::insert_four_init_vertices;
+
 
 	
 	
diff --git a/Triangulation_on_sphere_2/include/CGAL/Triangulation_on_sphere_2.h b/Triangulation_on_sphere_2/include/CGAL/Triangulation_on_sphere_2.h
index 5dec64d255a..1fac4145b7f 100644
--- a/Triangulation_on_sphere_2/include/CGAL/Triangulation_on_sphere_2.h
+++ b/Triangulation_on_sphere_2/include/CGAL/Triangulation_on_sphere_2.h
@@ -142,17 +142,7 @@ public:
   int number_of_negative_faces();
  
 
-  //INITIALISATION
-  std::vector<Vertex_handle> insert_four_init_vertices(double r);
-  std::vector<Vertex_handle> insert_four_init_vertices_half_sphere(const Point& P1=Point(1/sqrt(2.),0,1/sqrt(2.)),
-								   const Point& P2=Point(-0.5,-0.5,1/sqrt(2.)),
-								   const Point& P3=Point(0,1/sqrt(2.),1/sqrt(2.)),
-								   const Point& P4=Point(0,0,1));
-  std::vector<Vertex_handle> insert_three_init_vertices(const Point& P1=Point(1/sqrt(2.),0,1/sqrt(2.)),
-							const Point& P2=Point(-0.5,-0.5,1/sqrt(2.)),
-							const Point& P3=Point(0,1/sqrt(2.),1/sqrt(2.)));
   
-
   //------------------------------------------------------------------------INSERTION-----------------------------------------------
   Vertex_handle insert_first(const Point& p);
   Vertex_handle insert_second(const Point& p);
@@ -586,133 +576,6 @@ is_face(Vertex_handle v1,
   return _tds.is_face(v1, v2, v3, fr);
 }
 
-//INITIALIZATION
-template <class Gt, class Tds >
-std::vector<typename Triangulation_on_sphere_2<Gt,Tds>::Vertex_handle>
-Triangulation_on_sphere_2<Gt,Tds>::
-  insert_four_init_vertices(double r)
-{
-  std::vector<Vertex_handle> init;
-  Point p1(r,0,0);
-  Point p2(0,r,0);
-  Point p3(0,0,r);
-  Point p4(-r/sqrt(3.),-r/sqrt(3.),-r/sqrt(3.));
-
-  Vertex_handle v1;
-  Vertex_handle v2;
-  Vertex_handle v3;
-  Vertex_handle v4;
-
-
-  v1=insert_first(p1);
-  v2=insert_second(p2);
-
-  v3= _tds.insert_dim_up(v1,true);
-  v4= _tds.insert_dim_up(v1,false);
-	
-	
-	
-	
-	
-
-  v3->set_point(p3);
-  v4->set_point(p4);
-
-  init.push_back(v1);
-  init.push_back(v2);
-  init.push_back(v3);
-  init.push_back(v4);
-
-  _full_sphere=true;
-  _negative=faces_begin();
-
-  return init;
-}
-
-template <class Gt, class Tds >
-std::vector<typename Triangulation_on_sphere_2<Gt,Tds>::Vertex_handle>
-Triangulation_on_sphere_2<Gt,Tds>::
-insert_three_init_vertices(const Point& P1,const Point& P2,const Point& P3)
-{
-  std::vector<Vertex_handle> init;
- 
-  Vertex_handle v1;
-  Vertex_handle v2;
- 
- 
-  v1=insert_first(P1);
-  v2=insert_second(P2);
-
-  Face_handle fp=v1->face();
-  Face_handle fn=v2->face();
-  fp->set_vertex(1,v2);
-
-  fn->set_vertex(1,v1);
-
- Vertex_handle v3=_tds.create_vertex();
-  fp->set_vertex(2,v3);
-  
-  fn->set_vertex(2,v3);
-
-   v3->set_face(fn);
- 
-   v3->set_point(P3);
-   _tds.set_dimension(2);
-
-   fp->set_neighbor(0,fn);
-   fp->set_neighbor(1,fn);
-   fp->set_neighbor(2,fn);
-   fn->set_neighbor(0,fp);
-   fn->set_neighbor(1,fp);
-   fn->set_neighbor(2,fp);
-
-  init.push_back(v1);
-  init.push_back(v2);
-  init.push_back(v3);
-
-  _pivot=v1; 
-
-  return init;
-}
-
-template <class Gt, class Tds >
-std::vector<typename Triangulation_on_sphere_2<Gt,Tds>::Vertex_handle>
-Triangulation_on_sphere_2<Gt,Tds>::
-insert_four_init_vertices_half_sphere(const Point& P1,const Point& P2,const Point& P3,const Point& P4)
-{
-  std::vector<Vertex_handle> init;
- 
-  Vertex_handle v1;
-  Vertex_handle v2;
-  Vertex_handle v3; 
-  Vertex_handle v4;
- 
-
-  v1=insert_first(P1);
-  v2=insert_second(P2);
-
-  v3= _tds.insert_dim_up(v1,true);
-  v4= _tds.insert_dim_up(v1,false);
-
-  v3->set_point(P3);
-  v4->set_point(P4);
-
-  init.push_back(v1);
-  init.push_back(v2);
-  init.push_back(v3);
-  init.push_back(v4);
-  Face_handle f=v4->face();
-  Face_handle fn=f->neighbor(f->index(v4));
-
-  CGAL_triangulation_assertion( orientation(fn->vertex(0)->point(),fn->vertex(1)->point(),fn->vertex(2)->point())==ON_NEGATIVE_SIDE);
-  fn->negative()=true;
-
-  _pivot=v1; 
-
-  return init;
-}
-
-
 
 
 // -----------------------------------------------------------------------INSERTION------------------------------------------------------//