diff --git a/Constrained_triangulation_3/examples/Constrained_triangulation_3/ccdt_3_fpmap_region_growing.cpp b/Constrained_triangulation_3/examples/Constrained_triangulation_3/ccdt_3_fpmap_region_growing.cpp
index 93d2d526073..df2c55c793c 100644
--- a/Constrained_triangulation_3/examples/Constrained_triangulation_3/ccdt_3_fpmap_region_growing.cpp
+++ b/Constrained_triangulation_3/examples/Constrained_triangulation_3/ccdt_3_fpmap_region_growing.cpp
@@ -53,7 +53,7 @@ int main(int argc, char* argv[])
   std::cout << "-- Wrote segmented mesh to \"" << filename << "\"\n";
 
   auto ccdt = CGAL::make_conforming_constrained_Delaunay_triangulation_3(mesh,
-                CGAL::parameters::face_patch_map(face_patch_map));
+                CGAL::parameters::plc_facet_id(face_patch_map));
 
   std::cout << "Number of vertices in the CDT: "
             << ccdt.triangulation().number_of_vertices() << '\n'
diff --git a/Constrained_triangulation_3/examples/Constrained_triangulation_3/ccdt_3_from_soup_fpmap.cpp b/Constrained_triangulation_3/examples/Constrained_triangulation_3/ccdt_3_from_soup_fpmap.cpp
index 66ae47f6796..2f87f3daa15 100644
--- a/Constrained_triangulation_3/examples/Constrained_triangulation_3/ccdt_3_from_soup_fpmap.cpp
+++ b/Constrained_triangulation_3/examples/Constrained_triangulation_3/ccdt_3_from_soup_fpmap.cpp
@@ -51,7 +51,7 @@ int main(int argc, char* argv[])
 
   auto soup_fpmap = boost::make_function_property_map<std::size_t>(polygon_to_patch_id);
   auto ccdt = CGAL::make_conforming_constrained_Delaunay_triangulation_3(
-      points, polygons, CGAL::parameters::face_patch_map(soup_fpmap));
+      points, polygons, CGAL::parameters::plc_facet_id(soup_fpmap));
 
   std::cout << "Number of vertices in the CDT: "
             << ccdt.triangulation().number_of_vertices() << '\n'
diff --git a/Constrained_triangulation_3/include/CGAL/Conforming_constrained_Delaunay_triangulation_3.h b/Constrained_triangulation_3/include/CGAL/Conforming_constrained_Delaunay_triangulation_3.h
index 6d9ad3bcf47..735fb125779 100644
--- a/Constrained_triangulation_3/include/CGAL/Conforming_constrained_Delaunay_triangulation_3.h
+++ b/Constrained_triangulation_3/include/CGAL/Conforming_constrained_Delaunay_triangulation_3.h
@@ -827,7 +827,7 @@ public:
       cdt_impl.restore_Delaunay();
       cdt_impl.restore_constrained_Delaunay();
     } else {
-      auto polygon_patch_map = get_parameter(np, internal_np::face_patch);
+      auto polygon_patch_map = get_parameter(np, internal_np::plc_facet_id);
       static_assert(!std::is_same_v<decltype(polygon_patch_map), internal_np::Param_not_found>);
 
       using Point_type = CGAL::cpp20::remove_cvref_t<decltype(get(point_map, *cbegin(points)))>;