diff --git a/Combinatorial_map/include/CGAL/Cell_attribute.h b/Combinatorial_map/include/CGAL/Cell_attribute.h
index c5cc9875eed..da22eb1e72d 100644
--- a/Combinatorial_map/include/CGAL/Cell_attribute.h
+++ b/Combinatorial_map/include/CGAL/Cell_attribute.h
@@ -119,6 +119,12 @@ namespace CGAL {
     bool is_valid() const
     { return true; }
 
+    bool operator==(const Cell_attribute_without_info&) const
+    { return true; }
+
+    bool operator!=(const Cell_attribute_without_info& other) const
+    { return !operator==(other); }
+
   protected:
     /// Contructor without parameter.
     Cell_attribute_without_info(): mrefcounting(0)
@@ -221,6 +227,12 @@ namespace CGAL {
     bool is_valid() const
     { return mdart!=NULL; }
 
+    bool operator==(const Cell_attribute_without_info&) const
+    { return true; }
+
+    bool operator!=(const Cell_attribute_without_info& other) const
+    { return !operator==(other); }
+
   protected:
     /// Contructor without parameter.
     Cell_attribute_without_info() : mdart(NULL),
@@ -326,6 +338,13 @@ namespace CGAL {
     typedef OnSplit                          On_split;
     typedef Info_                            Info;
 
+    bool operator==(const Self& other) const
+    { return this->info()==other.info(); }
+
+    bool operator!=(const Self& other) const
+    { return !operator==(other); }
+
+
   protected:
     /// Default contructor.
     Cell_attribute()
diff --git a/Combinatorial_map/include/CGAL/internal/Combinatorial_map_copy_functors.h b/Combinatorial_map/include/CGAL/internal/Combinatorial_map_copy_functors.h
index 761c2eb53a9..a5458b8b207 100644
--- a/Combinatorial_map/include/CGAL/internal/Combinatorial_map_copy_functors.h
+++ b/Combinatorial_map/include/CGAL/internal/Combinatorial_map_copy_functors.h
@@ -191,12 +191,11 @@ struct Cast_converter_cmap_attributes
   (const Map1& map1, Map2& map2, typename Map1::Dart_const_handle dh1,
    typename Map2::Dart_handle dh2) const
   {
+    typename Map2::template Attribute_handle<i>::type
+      res = map2.template create_attribute<i>();
     if ( dh1->template attribute<i>()!=NULL )
-      return map2.template create_attribute<i>
-          ((typename Map2::template Attribute_type<i>::type::Info)
-           dh1->template attribute<i>()->info());
-
-    return map2.template create_attribute<i>();
+      res->info() = dh1->template attribute<i>()->info();
+    return res;
   }
 };
 // ****************************************************************************
diff --git a/Combinatorial_map/include/CGAL/internal/Combinatorial_map_internal_functors.h b/Combinatorial_map/include/CGAL/internal/Combinatorial_map_internal_functors.h
index 171c558fb28..3269b231ac5 100644
--- a/Combinatorial_map/include/CGAL/internal/Combinatorial_map_internal_functors.h
+++ b/Combinatorial_map/include/CGAL/internal/Combinatorial_map_internal_functors.h
@@ -22,6 +22,8 @@
 
 #include <CGAL/Dart_const_iterators.h>
 #include <CGAL/Combinatorial_map_basic_operations.h>
+#include <CGAL/Dimension.h>
+#include <CGAL/Kernel_traits.h>
 #include <vector>
 
 /* Definition of functors used internally to manage attributes (we need
@@ -457,7 +459,7 @@ struct Is_same_info<Attr1, Attr2, Info, Info>
 // Case of two non void type
 template<typename Map1, typename Map2,
          typename T1, typename T2, int i>
-struct Is_same_attribute_functor
+struct Is_same_attribute_info_functor
 {
   static bool run(typename Map1::Dart_const_handle dh1,
                   typename Map2::Dart_const_handle dh2)
@@ -478,33 +480,177 @@ struct Is_same_attribute_functor
 
 // Case T1==void
 template <typename Map1, typename Map2,
-          typename T1, int i>
-struct Is_same_attribute_functor<Map1, Map2, Void, T1, i>
+          typename T2, int i>
+struct Is_same_attribute_info_functor<Map1, Map2, Void, T2, i>
 {
   static bool run(typename Map1::Dart_const_handle,
                   typename Map2::Dart_const_handle dh2)
-  { return dh2->template attribute<i>()==NULL; }
+  {
+    return dh2->template attribute<i>()==NULL ||
+        Is_same_info<int,T2,void,typename T2::Info>::
+        run(0, *(dh2->template attribute<i>()));
+  }
 };
 
 // Case T2==void
 template <typename Map1, typename Map2,
           typename T1, int i>
-struct Is_same_attribute_functor<Map1, Map2, T1, Void, i>
+struct Is_same_attribute_info_functor<Map1, Map2, T1, Void, i>
 {
   static bool run(typename Map1::Dart_const_handle dh1,
                   typename Map2::Dart_const_handle)
-  { return dh1->template attribute<i>()==NULL; }
+  {
+    return dh1->template attribute<i>()==NULL ||
+        Is_same_info<T1, int, typename T1::Info, void>::
+        run(*(dh1->template attribute<i>()), 0);
+  }
 };
 
 // Case T1==T2==void
 template <typename Map1, typename Map2, int i>
-struct Is_same_attribute_functor<Map1, Map2, Void, Void, i>
+struct Is_same_attribute_info_functor<Map1, Map2, Void, Void, i>
 {
   static bool run(typename Map1::Dart_const_handle,
                   typename Map2::Dart_const_handle)
   { return true; }
 };
 
+// ****************************************************************************
+// Functor allowing to test if two points are the same or not.
+// Here we know both attributes have points.
+template< typename Attr1, typename Attr2,
+          typename Point1=typename Attr1::Point,
+          typename Point2=typename Attr2::Point,
+          typename T1=typename Ambient_dimension<Point1>::type >
+struct Is_same_point
+{
+  static bool run(const Attr1&, const Attr2&)
+  { return false; }
+};
+
+template< typename Attr1, typename Attr2, typename Point>
+struct Is_same_point<Attr1, Attr2, Point, Point, Dimension_tag<2> >
+{
+  static bool run(const Attr1& a1, const Attr2& a2)
+  { return typename Kernel_traits<Point>::Kernel::Equal_2()
+        (a1.point(),a2.point()); }
+};
+
+template< typename Attr1, typename Attr2, typename Point>
+struct Is_same_point<Attr1, Attr2, Point, Point, Dimension_tag<3> >
+{
+  static bool run(const Attr1& a1, const Attr2& a2)
+  { return typename Kernel_traits<Point>::Kernel::Equal_3()
+        (a1.point(),a2.point()); }
+};
+
+template< typename Attr1, typename Attr2, typename Point>
+struct Is_same_point<Attr1, Attr2, Point, Point, Dynamic_dimension_tag >
+{
+  static bool run(const Attr1& a1, const Attr2& a2)
+  { return typename Kernel_traits<Point>::Kernel::Equal_d()
+        (a1.point(),a2.point()); }
+};
+
+// Case of two non void type, with two points
+template<typename Map1, typename Map2,
+         typename T1, typename T2, bool Withpoint1, bool Withpoint2, int i>
+struct Is_same_attribute_point_functor
+{
+  static bool run(typename Map1::Dart_const_handle dh1,
+                  typename Map2::Dart_const_handle dh2)
+  {
+    CGAL_static_assertion( Withpoint1==true && Withpoint2==true );
+    if (dh1->template attribute<i>()==NULL &&
+        dh2->template attribute<i>()==NULL)
+      return true;
+
+    if (dh1->template attribute<i>()==NULL ||
+        dh2->template attribute<i>()==NULL)
+      return false;
+
+    return
+        Is_same_point<T1,T2>::run(*(dh1->template attribute<i>()),
+                                  *(dh2->template attribute<i>()));
+  }
+};
+
+// Case of two non void type, first without point
+template<typename Map1, typename Map2,
+         typename T1, typename T2, int i>
+struct Is_same_attribute_point_functor<Map1, Map2, T1, T2, false, true, i>
+{
+  static bool run(typename Map1::Dart_const_handle,
+                  typename Map2::Dart_const_handle)
+  { return false; }
+};
+
+// Case of two non void type, second without point
+template<typename Map1, typename Map2,
+         typename T1, typename T2, int i>
+struct Is_same_attribute_point_functor<Map1, Map2, T1, T2, true, false, i>
+{
+  static bool run(typename Map1::Dart_const_handle,
+                  typename Map2::Dart_const_handle)
+  { return false; }
+};
+
+// Case of two non void type, both without point
+template<typename Map1, typename Map2,
+         typename T1, typename T2, int i>
+struct Is_same_attribute_point_functor<Map1, Map2, T1, T2, false, false, i>
+{
+  static bool run(typename Map1::Dart_const_handle,
+                  typename Map2::Dart_const_handle)
+  { return true; }
+};
+
+// Case T1==void
+/*template <typename Map1, typename Map2,
+          typename T2, bool Withpoint1, bool Withpoint2, int i>
+struct Is_same_attribute_point_functor<Map1, Map2, Void, T2,
+    Withpoint1, Withpoint2, i>
+{
+  static bool run(typename Map1::Dart_const_handle,
+                  typename Map2::Dart_const_handle dh2)
+  {
+    return dh2->template attribute<i>()==NULL ||
+        Withpoint2==false;
+  }
+};
+
+// Case T2==void
+template <typename Map1, typename Map2,
+          typename T1, bool Withpoint1, bool Withpoint2, int i>
+struct Is_same_attribute_point_functor<Map1, Map2, T1, Void,
+    Withpoint1, Withpoint2, i>
+{
+  static bool run(typename Map1::Dart_const_handle dh1,
+                  typename Map2::Dart_const_handle)
+  {
+    return dh1->template attribute<i>()==NULL ||
+        Withpoint1==false;
+  }
+};
+
+// Case T1==T2==void
+template <typename Map1, typename Map2, bool Withpoint1, bool Withpoint2, int i>
+struct Is_same_attribute_point_functor<Map1, Map2, Void, Void,
+    Withpoint1, Withpoint2, i>
+{
+  static bool run(typename Map1::Dart_const_handle,
+                  typename Map2::Dart_const_handle)
+  { return true; }
+};*/
+
+struct twochar{ char dummy[2]; };
+
+template<typename T>
+static char has_point(typename T::Point*){}
+
+template<typename T>
+static twochar has_point(...){}
+
 /// Test if the two darts are associated with the same attribute.
 template<typename Map1, typename Map2>
 struct Test_is_same_attribute_functor
@@ -514,11 +660,23 @@ struct Test_is_same_attribute_functor
                   typename Map2::Dart_const_handle dh2 )
   {
     if (value)
-      value = Is_same_attribute_functor
+    {
+      value = Is_same_attribute_info_functor
         <Map1, Map2,
-         typename Map1::Helper::template Attribute_type<i>::type,
-         typename Map2::Helper::template Attribute_type<i>::type,
+         typename Map1::template Attribute_type<i>::type,
+         typename Map2::template Attribute_type<i>::type,
          i>::run(dh1, dh2);
+    }
+    if (value)
+    {
+      value = Is_same_attribute_point_functor
+          <Map1, Map2,
+          typename Map1::template Attribute_type<i>::type,
+          typename Map2::template Attribute_type<i>::type,
+          sizeof(has_point<typename Map1::template Attribute_type<i>::type>(NULL))==sizeof(char),
+          sizeof(has_point<typename Map2::template Attribute_type<i>::type>(NULL))==sizeof(char),
+          i>::run(dh1, dh2);
+    }
   }
   static bool value;
 };
diff --git a/Linear_cell_complex/include/CGAL/Cell_attribute_with_point.h b/Linear_cell_complex/include/CGAL/Cell_attribute_with_point.h
index 11a8b21af6d..0c91de8f00b 100644
--- a/Linear_cell_complex/include/CGAL/Cell_attribute_with_point.h
+++ b/Linear_cell_complex/include/CGAL/Cell_attribute_with_point.h
@@ -88,6 +88,12 @@ namespace CGAL {
 
     using Base1::info;
 
+    bool operator==(const Self& other) const
+    { return Base1::operator==(other) && this->point()==other.point(); }
+
+    bool operator!=(const Self& other) const
+    { return !operator==(other); }
+
   protected:
     /// Default contructor.
     Cell_attribute_with_point()
@@ -132,6 +138,16 @@ namespace CGAL {
     typedef Functor_on_merge_ Functor_on_merge;
     typedef Functor_on_split_ Functor_on_split;
 
+    bool operator==(const Cell_attribute_with_point& other) const
+    { return Base1::operator==(other) && this->point()==other.point(); }
+
+    bool operator!=(const Cell_attribute_with_point& other) const
+    { return !operator==(other); }
+
+    template<typename Cellattr>
+    bool operator==(const Cellattr& other) const
+    { return false; }
+
   protected:
     /// Default contructor.
     Cell_attribute_with_point()
diff --git a/Linear_cell_complex/include/CGAL/internal/Linear_cell_complex_copy_functors.h b/Linear_cell_complex/include/CGAL/internal/Linear_cell_complex_copy_functors.h
index baa6aa0a859..2ac33a76ceb 100644
--- a/Linear_cell_complex/include/CGAL/internal/Linear_cell_complex_copy_functors.h
+++ b/Linear_cell_complex/include/CGAL/internal/Linear_cell_complex_copy_functors.h
@@ -91,8 +91,7 @@ struct Set_point_if_possible<Point1, Point2, Dynamic_dimension_tag,
 {
   static void run(const Point1& p1, Point2& p2)
   {
-    if ( p1.dimension()==p2.dimension() )
-      Set_point_d_if_same<Point1, Point2>::run(p1, p2);
+    Set_point_d_if_same<Point1, Point2>::run(p1, p2);
   }
 };
 
@@ -123,15 +122,13 @@ struct Set_point_if_exist<Attr1, Attr2, CGAL::Void, Point2>
 };
 // ****************************************************************************
 #ifndef CGAL_CFG_NO_CPP0X_VARIADIC_TEMPLATES
-template <typename LCC1, typename LCC2, class Tuple,
-          class Res=CGAL::cpp11::tuple<> >
+template <typename LCC1, typename LCC2, class Tuple>
 struct Modify_tuple_of_converter_for_vertex_attribute;
 
-// empty tuple and empty res: res is a tuple with only
-// Point_converter_lcc_vertex_attributes
+// empty tuple
 template <typename LCC1, typename LCC2>
 struct Modify_tuple_of_converter_for_vertex_attribute
-    <LCC1, LCC2, CGAL::cpp11::tuple<>, CGAL::cpp11::tuple<> >
+    <LCC1, LCC2, CGAL::cpp11::tuple<> >
 {
   typedef CGAL::cpp11::tuple
   <Modify_attribute_converter_lcc_vertex_attributes
@@ -141,51 +138,22 @@ struct Modify_tuple_of_converter_for_vertex_attribute
   { return type(); }
 };
 
-// empty tuple but non empty res: we already have modified vertex attribute
-template < typename LCC1, typename LCC2, class ... Res >
-struct Modify_tuple_of_converter_for_vertex_attribute
-    <LCC1, LCC2, CGAL::cpp11::tuple<>, CGAL::cpp11::tuple<Res...> >
-{
-  typedef CGAL::cpp11::tuple<Res...> type;
-
-  static type run(const CGAL::cpp11::tuple<>&)
-  { CGAL_assertion(false); return type(); }
-};
-
-// empty res but non empty empty tuple, Firsttype is vertex attribute.
+// non empty empty tuple, Firsttype is vertex attribute.
 template < typename LCC1, typename LCC2, class Firsttype, class ... Tuple >
 struct Modify_tuple_of_converter_for_vertex_attribute
-    <LCC1, LCC2, CGAL::cpp11::tuple<Firstype, Tuple...>, CGAL::cpp11::tuple<> >
+    <LCC1, LCC2, CGAL::cpp11::tuple<Firstype, Tuple...> >
 {
-  typedef typename Modify_tuple_of_converter_for_vertex_attribute
-  <LCC1, LCC2, CGAL::cpp11::tuple<Tuple...>,
-  CGAL::cpp11::tuple
-  <Modify_attribute_converter_lcc_vertex_attributes<Firsttype, LCC1, LCC2> >::
-  type type;
+  typedef typename CGAL::cpp11::tuple
+  <Modify_attribute_converter_lcc_vertex_attributes<Firsttype, LCC1, LCC2>,
+  Tuple...> type;
 
   static type run(const CGAL::cpp11::tuple<Firsttype, Tuple...>& t)
   {
-    return type
-        (Modify_attribute_converter_lcc_vertex_attributes<Firsttype, LCC1, LCC2>
-         (t.get_head()),
-         t.get_tail());
+    return boost::tuples::cons
+        <Modify_attribute_converter_lcc_vertex_attributes<T1, LCC1, LCC2>,
+        Tuple... >(t.get_head(),t.get_tail());
   }
 };
-
-// non empty res, non empty tuple, we copy
-template < typename LCC1, typename LCC2, class Firsttype,
-           class ... Tuple, class ... Res >
-struct Modify_tuple_of_converter_for_vertex_attribute
-    <LCC1, LCC2, CGAL::cpp11::tuple<Firsttype,Tuple...>,
-    CGAL::cpp11::tuple<Res...> >
-{
-  typedef typename Modify_tuple_of_converter_for_vertex_attribute
-  <LCC1, LCC2, CGAL::cpp11::tuple<Tuple...>,
-  CGAL::cpp11::tuple<Res...,Functor> >::type type;
-
-  static type run(const CGAL::cpp11::tuple<>&)
-  { CGAL_assertion(false); return type; }
-};
 #else // CGAL_CFG_NO_CPP0X_VARIADIC_TEMPLATES
 template <class LCC1, class LCC2, class Tuple>
 struct Modify_tuple_of_converter_for_vertex_attribute;
@@ -200,9 +168,10 @@ struct Modify_tuple_of_converter_for_vertex_attribute
   static type run(const CGAL::cpp11::tuple<>&)
   {
     CGAL::Default_converter_cmap_attributes<LCC1, LCC2,0> tmp;
-    return type(Modify_attribute_converter_lcc_vertex_attributes
-        <CGAL::Default_converter_cmap_attributes<LCC1, LCC2,0>, LCC1, LCC2>
-        (tmp));
+    return CGAL::cpp11::tuple
+        <CGAL::Modify_attribute_converter_lcc_vertex_attributes
+        <CGAL::Default_converter_cmap_attributes<LCC1, LCC2,0>, LCC1, LCC2> >
+        (tmp);
   }
 };
 
@@ -214,10 +183,9 @@ struct Modify_tuple_of_converter_for_vertex_attribute
 
   static type run(const CGAL::cpp11::tuple<T1>& t)
   {
-    return type
-        (Modify_attribute_converter_lcc_vertex_attributes<T1, LCC1, LCC2>
-         (t.get_head()),
-         t.get_tail());
+    return boost::tuples::cons
+        <Modify_attribute_converter_lcc_vertex_attributes<T1, LCC1, LCC2>,
+        CGAL::cpp11::tuple<> >(t.get_head(),t.get_tail());
   }
 };
 
@@ -229,10 +197,9 @@ struct Modify_tuple_of_converter_for_vertex_attribute
 
   static type run(const CGAL::cpp11::tuple<T1,T2>& t)
   {
-    return type
-        (Modify_attribute_converter_lcc_vertex_attributes<T1, LCC1, LCC2>
-         (t.get_head()),
-         t.get_tail());
+    return boost::tuples::cons
+        <Modify_attribute_converter_lcc_vertex_attributes<T1, LCC1, LCC2>,
+        CGAL::cpp11::tuple<T2> >(t.get_head(),t.get_tail());
   }
 };
 
@@ -245,10 +212,9 @@ struct Modify_tuple_of_converter_for_vertex_attribute
 
   static type run(const CGAL::cpp11::tuple<T1,T2,T3>& t)
   {
-    return type
-        (Modify_attribute_converter_lcc_vertex_attributes<T1, LCC1, LCC2>
-         (t.get_head()),
-         t.get_tail());
+    return boost::tuples::cons
+        <Modify_attribute_converter_lcc_vertex_attributes<T1, LCC1, LCC2>,
+        CGAL::cpp11::tuple<T2,T3> >(t.get_head(),t.get_tail());
   }
 };
 
@@ -261,10 +227,9 @@ struct Modify_tuple_of_converter_for_vertex_attribute
 
   static type run(const CGAL::cpp11::tuple<T1,T2,T3,T4>& t)
   {
-    return type
-        (Modify_attribute_converter_lcc_vertex_attributes<T1, LCC1, LCC2>
-         (t.get_head()),
-         t.get_tail());
+    return boost::tuples::cons
+        <Modify_attribute_converter_lcc_vertex_attributes<T1, LCC1, LCC2>,
+        CGAL::cpp11::tuple<T2,T3,T4> >(t.get_head(),t.get_tail());
   }
 };
 
@@ -278,10 +243,9 @@ struct Modify_tuple_of_converter_for_vertex_attribute
 
   static type run(const CGAL::cpp11::tuple<T1,T2,T3,T4,T5>& t)
   {
-    return type
-        (Modify_attribute_converter_lcc_vertex_attributes<T1, LCC1, LCC2>
-         (t.get_head()),
-         t.get_tail());
+    return boost::tuples::cons
+        <Modify_attribute_converter_lcc_vertex_attributes<T1, LCC1, LCC2>,
+        CGAL::cpp11::tuple<T2,T3,T4,T5> >(t.get_head(),t.get_tail());
   }
 };
 
@@ -295,10 +259,9 @@ struct Modify_tuple_of_converter_for_vertex_attribute
 
   static type run(const CGAL::cpp11::tuple<T1,T2,T3,T4,T5,T6>& t)
   {
-    return type
-        (Modify_attribute_converter_lcc_vertex_attributes<T1, LCC1, LCC2>
-         (t.get_head()),
-         t.get_tail());
+    return boost::tuples::cons
+        <Modify_attribute_converter_lcc_vertex_attributes<T1, LCC1, LCC2>,
+        CGAL::cpp11::tuple<T2,T3,T4,T5,T6> >(t.get_head(),t.get_tail());
   }
 };
 
@@ -312,10 +275,9 @@ struct Modify_tuple_of_converter_for_vertex_attribute
 
   static type run(const CGAL::cpp11::tuple<T1,T2,T3,T4,T5,T6,T7>& t)
   {
-    return type
-        (Modify_attribute_converter_lcc_vertex_attributes<T1, LCC1, LCC2>
-         (t.get_head()),
-         t.get_tail());
+    return boost::tuples::cons
+        <Modify_attribute_converter_lcc_vertex_attributes<T1, LCC1, LCC2>,
+        CGAL::cpp11::tuple<T2,T3,T4,T5,T6,T7> >(t.get_head(),t.get_tail());
   }
 };
 
@@ -329,10 +291,9 @@ struct Modify_tuple_of_converter_for_vertex_attribute
 
   static type run(const CGAL::cpp11::tuple<T1,T2,T3,T4,T5,T6,T7,T8>& t)
   {
-    return type
-        (Modify_attribute_converter_lcc_vertex_attributes<T1, LCC1, LCC2>
-         (t.get_head()),
-         t.get_tail());
+    return boost::tuples::cons
+        <Modify_attribute_converter_lcc_vertex_attributes<T1, LCC1, LCC2>,
+        CGAL::cpp11::tuple<T2,T3,T4,T5,T6,T7,T8> >(t.get_head(),t.get_tail());
   }
 };
 
@@ -346,10 +307,9 @@ struct Modify_tuple_of_converter_for_vertex_attribute
 
   static type run(const CGAL::cpp11::tuple<T1,T2,T3,T4,T5,T6,T7,T8,T9>& t)
   {
-    return type
-        (Modify_attribute_converter_lcc_vertex_attributes<T1, LCC1, LCC2>
-         (t.get_head()),
-         t.get_tail());
+    return boost::tuples::cons
+        <Modify_attribute_converter_lcc_vertex_attributes<T1, LCC1, LCC2>,
+        CGAL::cpp11::tuple<T2,T3,T4,T5,T6,T7,T8,T9> >(t.get_head(),t.get_tail());
   }
 };
 #endif
diff --git a/Linear_cell_complex/test/Linear_cell_complex/Linear_cell_complex_copy_test.cpp b/Linear_cell_complex/test/Linear_cell_complex/Linear_cell_complex_copy_test.cpp
index 8e27dee37c3..0c18c542a80 100644
--- a/Linear_cell_complex/test/Linear_cell_complex/Linear_cell_complex_copy_test.cpp
+++ b/Linear_cell_complex/test/Linear_cell_complex/Linear_cell_complex_copy_test.cpp
@@ -17,7 +17,7 @@ struct Map_2_dart_items
     typedef CGAL::Dart< 2, Refs > Dart;
 
     typedef CGAL::Cell_attribute< Refs, int > Int_attrib;
-    typedef CGAL::Cell_attribute< Refs, int > Double_attrib;
+    typedef CGAL::Cell_attribute< Refs, double > Double_attrib;
     typedef CGAL::Cell_attribute_with_point< Refs, double > Double_attrib_wp;
 
     typedef CGAL::cpp11::tuple<Double_attrib_wp, void, Double_attrib> Attributes;
@@ -562,19 +562,65 @@ bool testCopy()
             map2a.number_of_attributes<2>()==0 &&
             map2a.number_of_attributes<3>()==0 );
     assert( map2a.is_isomorphic_to(map2)==map2.is_isomorphic_to(map2a) );
-    //map2.display_characteristics(std::cout)<<std::endl;
-    //map2a.display_characteristics(std::cout)<<std::endl;
 
     Map2 map5a(map5); assert(map5a.is_valid());
-    // Here we cannot use is_isomorphic_to because map5a has several cc
+    if ( map5a.is_isomorphic_to(map5) ) { assert(false); return false; }
     assert( map5a.number_of_attributes<0>()==map2.number_of_attributes<0>() &&
             map5a.number_of_attributes<2>()==0 );
-    //map5.display_characteristics(std::cout)<<std::endl;
-    //map5a.display_characteristics(std::cout)<<std::endl;
+
+    Map5 map9a(map9); assert(map9a.is_valid());
+    if ( map9a.is_isomorphic_to(map9) ) { assert(false); return false; }
+    assert( map9a.number_of_attributes<0>()>=map9.number_of_attributes<0>() &&
+            map9a.number_of_attributes<2>()>=map9.number_of_attributes<2>() &&
+            map9a.number_of_attributes<3>()==0 );
+    assert( map9a.is_isomorphic_to(map9)==map9.is_isomorphic_to(map9a) );
+
+    CGAL::Cast_converter_cmap_attributes<Map9,Map5,0> c0;
+    CGAL::Default_converter_cmap_attributes<Map9,Map5,1> c1;
+    CGAL::Default_converter_cmap_attributes<Map9,Map5,2> c2;
+    CGAL::Cast_converter_cmap_attributes<Map9,Map5,3> c3;
+
+    CGAL::cpp11::tuple<CGAL::Cast_converter_cmap_attributes<Map9,Map5,0>,
+        CGAL::Default_converter_cmap_attributes<Map9,Map5,1>,
+        CGAL::Default_converter_cmap_attributes<Map9,Map5,2>,
+        CGAL::Cast_converter_cmap_attributes<Map9,Map5,3> > myconverters
+        (c0, c1, c2, c3);
+
+    Map5 map9b(map9, myconverters); assert(map9a.is_valid());
+    if ( map9b.is_isomorphic_to(map9) ) { assert(false); return false; }
+    assert( map9b.number_of_attributes<0>()>=map9.number_of_attributes<0>() &&
+            map9b.number_of_attributes<2>()>=map9.number_of_attributes<2>() &&
+            map9b.number_of_attributes<3>()>=map9.number_of_attributes<3>() );
+    assert( map9b.is_isomorphic_to(map9)==map9.is_isomorphic_to(map9b) );
+
+    CGAL::Cast_converter_cmap_attributes<Map5,Map9,0> cb0;
+    CGAL::Default_converter_cmap_attributes<Map5,Map9,1> cb1;
+    CGAL::Default_converter_cmap_attributes<Map5,Map9,2> cb2;
+    CGAL::Cast_converter_cmap_attributes<Map5,Map9,3> cb3;
+
+    CGAL::cpp11::tuple<CGAL::Cast_converter_cmap_attributes<Map5,Map9,0>,
+        CGAL::Default_converter_cmap_attributes<Map5,Map9,1>,
+        CGAL::Default_converter_cmap_attributes<Map5,Map9,2>,
+        CGAL::Cast_converter_cmap_attributes<Map5,Map9,3> > myconverters2
+        (cb0, cb1, cb2, cb3);
+
+    Map9 map5b(map5, myconverters2); assert(map5b.is_valid());
+    if ( map5b.is_isomorphic_to(map5) ) { assert(false); return false; }
+    if ( !map5b.is_isomorphic_to(map5, false) ) { assert(false); return false; }
+    assert( map5b.number_of_attributes<0>()==map5.number_of_attributes<0>() &&
+            map5b.number_of_attributes<2>()==map5.number_of_attributes<2>() &&
+            map5b.number_of_attributes<3>()==map5.number_of_attributes<3>() );
+    assert( map5b.is_isomorphic_to(map5)==map5.is_isomorphic_to(map5b) );
   }
 
-  // displayAllAttribs2D(mapXX, "mapXX******************\n");
-  // displayAllAttribs2D(mapYY, "mapYY******************\n");
+  /*map2.display_characteristics(std::cout)<<std::endl;
+    map2a.display_characteristics(std::cout)<<std::endl;
+    displayAllAttribs2D(mapXX, "mapXX******************\n");
+    displayAllAttribs2D(mapYY, "mapYY******************\n");*/
+  /*map5.display_characteristics(std::cout)<<std::endl;
+    map5b.display_characteristics(std::cout)<<std::endl;
+    displayAllAttribs3D(map5, "map5******************\n");
+    displayAllAttribs3D(map5b, "map5b******************\n");*/
 
   return true;
 }