diff --git a/Periodic_3_triangulation_3/include/CGAL/Periodic_3_triangulation_3.h b/Periodic_3_triangulation_3/include/CGAL/Periodic_3_triangulation_3.h
index 7bdfd9c617f..461b84c4c08 100644
--- a/Periodic_3_triangulation_3/include/CGAL/Periodic_3_triangulation_3.h
+++ b/Periodic_3_triangulation_3/include/CGAL/Periodic_3_triangulation_3.h
@@ -696,10 +696,13 @@ public:
   // to the fundamental domain) of the vertices v and c->vertex(idx),
   // respectively
   template <class ConstructPoint>
-  Point point(Vertex_handle v, ConstructPoint cp) const {
+  Point point(Vertex_handle v, ConstructPoint cp) const
+  {
     return point(periodic_point(v), cp);
   }
 
+  virtual Point point(Vertex_handle v) const = 0;
+
   template <class ConstructPoint>
   Point point(Cell_handle c, int idx, ConstructPoint cp) const
   {
@@ -757,6 +760,8 @@ public:
     return Point();
   }
 
+  virtual Point point(Cell_handle c, int idx) const = 0;
+
   Periodic_point periodic_point(const Vertex_handle v) const
   {
     if(is_1_cover())