diff --git a/Periodic_3_triangulation_3/include/CGAL/Periodic_3_regular_triangulation_3.h b/Periodic_3_triangulation_3/include/CGAL/Periodic_3_regular_triangulation_3.h
index 783ce74d7ab..1cb6f190058 100644
--- a/Periodic_3_triangulation_3/include/CGAL/Periodic_3_regular_triangulation_3.h
+++ b/Periodic_3_triangulation_3/include/CGAL/Periodic_3_regular_triangulation_3.h
@@ -177,10 +177,11 @@ public:
   template < typename InputIterator >
   Periodic_3_regular_triangulation_3(InputIterator first, InputIterator last,
       const Iso_cuboid& domain = Iso_cuboid(0,0,0,1,1,1),
-      const Geometric_traits& gt = Geometric_traits() )
+      const Geometric_traits& gt = Geometric_traits(),
+      bool is_large_point_set = false)
     : Base(domain, gt)
   {
-    insert(first, last);
+    insert(first, last, is_large_point_set);
   }
 
   void create_initial_triangulation()
@@ -363,7 +364,7 @@ public:
     Conflict_tester tester(*pbegin, this);
     Point_hider hider(this);
     Cover_manager cover_manager(*this);
-    double_vertices = Base::insert_in_conflict(points.begin(), points.end(), hint, tester, hider, cover_manager);
+    double_vertices = Base::insert_in_conflict(pbegin, points.end(), hint, tester, hider, cover_manager);
 
     if (is_large_point_set)
     {
diff --git a/Periodic_3_triangulation_3/test/Periodic_3_triangulation_3/test_periodic_3_regular_triangulation_3.cpp b/Periodic_3_triangulation_3/test/Periodic_3_triangulation_3/test_periodic_3_regular_triangulation_3.cpp
index 8ec432a9dd8..f4b57943ca1 100644
--- a/Periodic_3_triangulation_3/test/Periodic_3_triangulation_3/test_periodic_3_regular_triangulation_3.cpp
+++ b/Periodic_3_triangulation_3/test/Periodic_3_triangulation_3/test_periodic_3_regular_triangulation_3.cpp
@@ -713,9 +713,9 @@ void test_insert_range (unsigned pt_count, unsigned seed)
   assert(p3rt3.number_of_sheets() == CGAL::make_array(1,1,1));
 }
 
-void test_construct_and_insert_range (unsigned pt_count, unsigned seed)
+void test_construction_and_insert_range (unsigned pt_count, unsigned seed)
 {
-  std::cout << "--- test_construct_and_insert_range" << std::endl;
+  std::cout << "--- test_construction_and_insert_range" << std::endl;
 
   CGAL::Random random(seed);
   typedef CGAL::Creator_uniform_3<double,Bare_point>  Creator;
@@ -865,25 +865,25 @@ int main (int argc, char** argv)
 
   CGAL::force_ieee_double_precision();
 
-//  test_construct_and_insert_range(800, 7);
-//  test_number_of_hidden_points();
-//  test_locate_geometry();
-//  test_dummy_points();
-//  test_construction();
-//  test_insert_1();
-//  test_insert_point();
-//  test_insert_hidden_point();
-//  test_insert_hiding_point();
-//  test_insert_a_point_twice();
-//  test_insert_two_points_with_the_same_position();
-//  test_remove();
-//  test_27_to_1_sheeted_covering();
   test_insert_range(800, 7);
+  test_construction_and_insert_range(800, 7);
+  test_number_of_hidden_points();
+  test_locate_geometry();
+  test_dummy_points();
+  test_construction();
+  test_insert_1();
+  test_insert_point();
+  test_insert_hidden_point();
+  test_insert_hiding_point();
+  test_insert_a_point_twice();
+  test_insert_two_points_with_the_same_position();
+  test_remove();
+  test_27_to_1_sheeted_covering();
 ////    Iso_cuboid unitaire ->  0 <= weight < 0.015625
-//  test_insert_rnd_as_delaunay(100, 0.);
-//  test_insert_rnd_as_delaunay(100, 0.01);
-//  test_insert_rnd_then_remove_all(5000, 7);
-//  test_insert_rnd_then_remove_all(5000, 12);
+  test_insert_rnd_as_delaunay(100, 0.);
+  test_insert_rnd_as_delaunay(100, 0.01);
+  test_insert_rnd_then_remove_all(5000, 7);
+  test_insert_rnd_then_remove_all(5000, 12);
 
   std::cout << "EXIT SUCCESS" << std::endl;
   return EXIT_SUCCESS;