diff --git a/Polyhedron/demo/Polyhedron/Scene_c3t3_item.cpp b/Polyhedron/demo/Polyhedron/Scene_c3t3_item.cpp
index db4f83d3b89..7f1389b8ba4 100644
--- a/Polyhedron/demo/Polyhedron/Scene_c3t3_item.cpp
+++ b/Polyhedron/demo/Polyhedron/Scene_c3t3_item.cpp
@@ -293,22 +293,13 @@ void Scene_c3t3_item::compute_bbox() const
     _bbox = Bbox();
   else
   {
-    bool bbox_init = false;
-    CGAL::Bbox_3 result;
+    CGAL::Bbox_3 result;//default is [+infinity; -infinity]
     for (Tr::Cell_handle c : c3t3().cells_in_complex())
     {
-      if (bbox_init)
-      {
-        Tr::Vertex_handle v = (c->vertex(0) != c3t3().triangulation().infinite_vertex())
-                             ? c->vertex(0) : c->vertex(1);
-        result = result + v->point().bbox();
-      }
-      else
-      {
-        for(int i = 0; i < 4; ++i)
-          result = c->vertex(i)->point().bbox();
-        bbox_init = true;
-      }
+      Tr::Vertex_handle v = (c->vertex(0) != c3t3().triangulation().infinite_vertex())
+                           ? c->vertex(0)
+                           : c->vertex(1);
+      result += v->point().bbox();
     }
     _bbox = Bbox(result.xmin(), result.ymin(), result.zmin(),
                  result.xmax(), result.ymax(), result.zmax());