diff --git a/Packages/Triangulation_3/changes.txt b/Packages/Triangulation_3/changes.txt
index 2ddaf40eb74..734055b7d86 100644
--- a/Packages/Triangulation_3/changes.txt
+++ b/Packages/Triangulation_3/changes.txt
@@ -1,3 +1,6 @@
+Version 1.88 (?? September 01)
+- Use Pointer<> directly, no need for Triangulation_*_handle_3<>.
+
 Version 1.87 (11 September 01)
 - Remove deprecated code.
 - Internal classes now templated either by Tds or Tr so they are more easily
diff --git a/Packages/Triangulation_3/include/CGAL/Triangulation_data_structure_3.h b/Packages/Triangulation_3/include/CGAL/Triangulation_data_structure_3.h
index ac7f4aad8e6..78049ec83e6 100644
--- a/Packages/Triangulation_3/include/CGAL/Triangulation_data_structure_3.h
+++ b/Packages/Triangulation_3/include/CGAL/Triangulation_data_structure_3.h
@@ -42,14 +42,13 @@
 #include <CGAL/triangulation_assertions.h>
 #include <CGAL/Triangulation_utils_3.h>
 
-#include <CGAL/Triangulation_cell_base_3.h>
+#include <CGAL/Pointer.h>
 
 #include <CGAL/Triangulation_ds_cell_3.h>
 #include <CGAL/Triangulation_ds_vertex_3.h>
 
 #include <CGAL/Triangulation_ds_iterators_3.h>
 #include <CGAL/Triangulation_ds_circulators_3.h>
-#include <CGAL/Triangulation_handles_3.h>
 
 #include <CGAL/DS_Container.h>
 
@@ -59,7 +58,6 @@ template <class Vb, class Cb>
 class Triangulation_data_structure_3
   : public Triangulation_utils_3
 {
-  typedef Triangulation_data_structure_3<Vb, Cb>   Self;
 public:
 
   typedef Triangulation_data_structure_3<Vb,Cb>    Tds;
@@ -69,13 +67,10 @@ public:
   typedef Triangulation_ds_vertex_3<Tds>           Vertex;
   typedef Triangulation_ds_cell_3<Tds>             Cell;
 
-  typedef Triangulation_cell_handle_3<Self>        Cell_handle;
-  typedef Triangulation_vertex_handle_3<Self>      Vertex_handle;
-  // TODO : The following (simpler), should work.  One day...
-  //typedef Pointer<Cell>        Cell_handle;
-  //typedef Pointer<Vertex>      Vertex_handle;
-  //typedef Cell *        Cell_handle;
-  //typedef Vertex *      Vertex_handle;
+  typedef Pointer<Cell>        Cell_handle;
+  typedef Pointer<Vertex>      Vertex_handle;
+  // typedef Cell *        Cell_handle;
+  // typedef Vertex *      Vertex_handle;
 
   typedef std::pair<Cell_handle, int>              Facet;
   typedef triple<Cell_handle, int, int>            Edge;
diff --git a/Packages/Triangulation_3/include/CGAL/Triangulation_handles_3.h b/Packages/Triangulation_3/include/CGAL/Triangulation_handles_3.h
deleted file mode 100644
index 308ecd4eab6..00000000000
--- a/Packages/Triangulation_3/include/CGAL/Triangulation_handles_3.h
+++ /dev/null
@@ -1,92 +0,0 @@
-// ============================================================================
-//
-// Copyright (c) 1999 The CGAL Consortium
-//
-// This software and related documentation is part of an INTERNAL release
-// of the Computational Geometry Algorithms Library (CGAL). It is not
-// intended for general use.
-//
-// ----------------------------------------------------------------------------
-//
-// release       :
-// release_date  :
-//
-// file          : include/CGAL/Triangulation_handles_3.h
-// revision      : $Revision$
-// author(s)     : Monique Teillaud <Monique.Teillaud@sophia.inria.fr>
-//
-// coordinator   : INRIA Sophia Antipolis (<Mariette.Yvinec@sophia.inria.fr>)
-//
-// ============================================================================
-
-#ifndef CGAL_TRIANGULATION_HANDLES_3_H
-#define CGAL_TRIANGULATION_HANDLES_3_H
-
-#include <CGAL/Triangulation_short_names_3.h>
-#include <CGAL/Pointer.h>
-
-CGAL_BEGIN_NAMESPACE
-
-template <class Tr>
-class Triangulation_vertex_handle_3
-  : public Pointer<CGAL_TYPENAME_MSVC_NULL Tr::Vertex>
-{
-  typedef typename Tr::Vertex                        Vertex;
-  typedef Pointer<Vertex>                            Ptr;
-  typedef Triangulation_vertex_handle_3<Tr>          Vertex_handle;
-public:
-
-  Triangulation_vertex_handle_3()
-    : Ptr(NULL)
-  {}
-
-  Triangulation_vertex_handle_3(const Vertex * v)
-    : Ptr(const_cast<Vertex*>(v))
-  {}
-
-  Vertex_handle & operator=(Vertex * v)
-  {
-    ptr() = v;
-    return *this;
-  }
-
-  Vertex_handle & operator=(const Vertex_handle & v)
-  {
-    ptr() = v.ptr();
-    return *this;
-  }
-};
-
-template <class Tr>
-class Triangulation_cell_handle_3
-  : public Pointer<CGAL_TYPENAME_MSVC_NULL Tr::Cell>
-{
-  typedef typename Tr::Cell                         Cell;
-  typedef Pointer<Cell>                             Ptr;
-  typedef Triangulation_cell_handle_3<Tr>           Cell_handle;
-public:
-
-  Triangulation_cell_handle_3()
-    : Ptr(NULL)
-  {}
-
-  Triangulation_cell_handle_3(const Cell * c)
-    : Ptr(const_cast<Cell*>(c))
-  {}
-
-  Cell_handle & operator=(Cell * c)
-  {
-    ptr() = c;
-    return *this;
-  }
-
-  Cell_handle & operator=(const Cell_handle & c)
-  {
-    ptr() = c.ptr();
-    return *this;
-  }
-};
-
-CGAL_END_NAMESPACE
-
-#endif // CGAL_TRIANGULATION_HANDLES_3_H
diff --git a/Packages/Triangulation_3/include/CGAL/Triangulation_short_names_3.h b/Packages/Triangulation_3/include/CGAL/Triangulation_short_names_3.h
index a82daaf6105..3d9b1972c4e 100644
--- a/Packages/Triangulation_3/include/CGAL/Triangulation_short_names_3.h
+++ b/Packages/Triangulation_3/include/CGAL/Triangulation_short_names_3.h
@@ -26,8 +26,6 @@
 #define Triangulation_vertex_base_3                 T_vb
 #define Triangulation_cell_base_3                   T_cb
 
-#define Triangulation_geom_traits_3                 T_gt
-
 #define Triangulation_data_structure_3              TDS
 
 #define Triangulation_ds_vertex_3                   TDS_v
@@ -41,9 +39,6 @@
 
 #define Triangulation_3                             TR
 
-#define Triangulation_vertex_handle_3               T_vh
-#define Triangulation_cell_handle_3                 T_ch
-
 #define Triangulation_finite_iterator_3             T_Fit
 #define Triangulation_finite_iterator2_3            T_Fit2