diff --git a/Isosurfacing_3/benchmark/Isosurfacing_3/contouring_seq_vs_parallel_image.cpp b/Isosurfacing_3/benchmark/Isosurfacing_3/contouring_seq_vs_parallel_image.cpp
index 976ec98c6bd..2855d6ba1d8 100644
--- a/Isosurfacing_3/benchmark/Isosurfacing_3/contouring_seq_vs_parallel_image.cpp
+++ b/Isosurfacing_3/benchmark/Isosurfacing_3/contouring_seq_vs_parallel_image.cpp
@@ -123,8 +123,7 @@ int main(int argc, char** argv)
     Polygon_range triangles;
 
     std::cout << "--- Marching Cubes (Sequential)" << std::endl;
-    IS::marching_cubes<CGAL::Sequential_tag>(
-      domain, isovalue, points, triangles, CGAL::parameters::do_not_triangulate_faces(!triangulate_faces));
+    IS::marching_cubes<CGAL::Sequential_tag>(domain, isovalue, points, triangles);
 
     timer.stop();
 
@@ -146,8 +145,7 @@ int main(int argc, char** argv)
     Polygon_range triangles;
 
     std::cout << "--- Marching Cubes (Parallel)" << std::endl;
-    IS::marching_cubes<CGAL::Parallel_if_available_tag>(
-      domain, isovalue, points, triangles, CGAL::parameters::do_not_triangulate_faces(!triangulate_faces));
+    IS::marching_cubes<CGAL::Parallel_if_available_tag>(domain, isovalue, points, triangles);
 
     timer.stop();
 
diff --git a/Isosurfacing_3/benchmark/Isosurfacing_3/contouring_seq_vs_parallel_implicit.cpp b/Isosurfacing_3/benchmark/Isosurfacing_3/contouring_seq_vs_parallel_implicit.cpp
index fddf246219a..e5397be4ddf 100644
--- a/Isosurfacing_3/benchmark/Isosurfacing_3/contouring_seq_vs_parallel_implicit.cpp
+++ b/Isosurfacing_3/benchmark/Isosurfacing_3/contouring_seq_vs_parallel_implicit.cpp
@@ -116,8 +116,7 @@ int main(int argc, char** argv)
     Polygon_range triangles;
 
     std::cout << "--- Marching Cubes (Sequential)" << std::endl;
-    IS::marching_cubes<CGAL::Sequential_tag>(
-      domain, isovalue, points, triangles, CGAL::parameters::do_not_triangulate_faces(!triangulate_faces));
+    IS::marching_cubes<CGAL::Sequential_tag>(domain, isovalue, points, triangles);
 
     timer.stop();
 
@@ -139,8 +138,7 @@ int main(int argc, char** argv)
     Polygon_range triangles;
 
     std::cout << "--- Marching Cubes (Parallel)" << std::endl;
-    IS::marching_cubes<CGAL::Parallel_if_available_tag>(
-      domain, isovalue, points, triangles, CGAL::parameters::do_not_triangulate_faces(!triangulate_faces));
+    IS::marching_cubes<CGAL::Parallel_if_available_tag>(domain, isovalue, points, triangles);
 
     timer.stop();
 
diff --git a/Isosurfacing_3/examples/Isosurfacing_3/contouring_mesh_offset.cpp b/Isosurfacing_3/examples/Isosurfacing_3/contouring_mesh_offset.cpp
index 1fa836f7aa1..5ad3e197323 100644
--- a/Isosurfacing_3/examples/Isosurfacing_3/contouring_mesh_offset.cpp
+++ b/Isosurfacing_3/examples/Isosurfacing_3/contouring_mesh_offset.cpp
@@ -84,8 +84,7 @@ void run_marching_cubes(const Grid& grid,
 
   // run marching cubes
   std::cout << "Running Marching Cubes with isovalue = " << offset_value << std::endl;
-  CGAL::Isosurfacing::marching_cubes(domain, offset_value, points, triangles,
-                                     CGAL::parameters::do_not_triangulate_faces(true));
+  CGAL::Isosurfacing::marching_cubes(domain, offset_value, points, triangles);
 
   std::cout << "Output #vertices (MC): " << points.size() << std::endl;
   std::cout << "Output #triangles (MC): " << triangles.size() << std::endl;
@@ -114,7 +113,8 @@ void run_dual_contouring(const Grid& grid,
 
   // run dual contouring
   std::cout << "Running Dual Contouring with isovalue = " << offset_value << std::endl;
-  CGAL::Isosurfacing::dual_contouring(domain, offset_value, points, triangles);
+  CGAL::Isosurfacing::dual_contouring(domain, offset_value, points, triangles,
+                                      CGAL::parameters::do_not_triangulate_faces(true));
 
   std::cout << "Output #vertices (DC): " << points.size() << std::endl;
   std::cout << "Output #triangles (DC): " << triangles.size() << std::endl;