diff --git a/.gitattributes b/.gitattributes
index 9afdc163f7c..80210887c62 100644
--- a/.gitattributes
+++ b/.gitattributes
@@ -821,6 +821,7 @@ Arrangement_on_surface_2/test/Arrangement_on_surface_2/data/test_adaptor/spheric
 Arrangement_on_surface_2/test/Arrangement_on_surface_2/data/test_construction/test47.txt -text
 Arrangement_on_surface_2/test/Arrangement_on_surface_2/data/test_observer/test01.txt -text
 Arrangement_on_surface_2/test/Arrangement_on_surface_2/data/test_overlay/test01.txt -text
+Arrangement_on_surface_2/test/Arrangement_on_surface_2/data/test_overlay/test02.txt -text
 Arrangement_on_surface_2/test/Arrangement_on_surface_2/test_do_equal.cpp -text
 Arrangement_on_surface_2/test/Arrangement_on_surface_2/test_do_intersect.cpp -text
 Arrangement_on_surface_2/test/Arrangement_on_surface_2/test_observer.cmd -text
diff --git a/Arrangement_on_surface_2/test/Arrangement_on_surface_2/data/test_overlay/test02.txt b/Arrangement_on_surface_2/test/Arrangement_on_surface_2/data/test_overlay/test02.txt
new file mode 100644
index 00000000000..e428f87e8d2
--- /dev/null
+++ b/Arrangement_on_surface_2/test/Arrangement_on_surface_2/data/test_overlay/test02.txt
@@ -0,0 +1,161 @@
+4
+-1 -1 1 -1
+1 -1 1 1
+1 1 -1 1
+-1 1 -1 -1
+1
+0 0
+4
+0 -1 1 0
+1 0 0 1
+0 1 -1 0
+-1 0 0 -1
+1
+0 0
+# BEGIN ARRANGEMENT
+# number_of_vertices
+9
+# number_of_edges
+12
+# number_of_faces
+6
+# BEGIN VERTICES
+4 4 1 -1 0
+6
+4 4 1 -1 -1
+10
+4 4 1 -1 1
+9
+4 4 1 0 -1
+5
+4 4 1 0 0
+12
+4 4 1 0 1
+5
+4 4 1 1 -1
+9
+4 4 1 1 0
+4
+4 4 1 1 1
+8
+# END VERTICES
+# BEGIN EDGES
+0 1 1 1 -1 0 -1 -1
+8
+8
+2 0 1 1 -1 1 -1 0
+8
+8
+3 1 1 1 -1 -1 0 -1
+8
+8
+0 3 0 1 -1 0 0 -1
+8
+8
+5 0 1 1 0 1 -1 0
+8
+8
+2 5 0 1 0 1 -1 1
+8
+8
+6 3 1 1 0 -1 1 -1
+8
+8
+7 6 1 1 1 -1 1 0
+8
+8
+3 7 0 1 0 -1 1 0
+8
+8
+5 7 0 1 1 0 0 1
+8
+8
+8 7 1 1 1 0 1 1
+8
+8
+5 8 0 1 1 1 0 1
+8
+8
+# END EDGES
+# BEGIN FACES
+# BEGIN FACE
+1 1 
+# number_of_outer_ccbs
+0
+# number_of_inner_ccbs
+1
+# halfedges_on_inner_ccb
+8
+1 3 10 22 20 14 12 4 
+# number_of_isolated_vertices
+0
+12
+# END FACE
+# BEGIN FACE
+0 1 
+# number_of_outer_ccbs
+1
+# halfedges_on_outer_ccb
+3
+7 0 5 
+# number_of_inner_ccbs
+0
+# number_of_isolated_vertices
+0
+12
+# END FACE
+# BEGIN FACE
+0 1 
+# number_of_outer_ccbs
+1
+# halfedges_on_outer_ccb
+3
+11 2 9 
+# number_of_inner_ccbs
+0
+# number_of_isolated_vertices
+0
+12
+# END FACE
+# BEGIN FACE
+0 1 
+# number_of_outer_ccbs
+1
+# halfedges_on_outer_ccb
+3
+17 13 15 
+# number_of_inner_ccbs
+0
+# number_of_isolated_vertices
+0
+12
+# END FACE
+# BEGIN FACE
+0 1 
+# number_of_outer_ccbs
+1
+# halfedges_on_outer_ccb
+4
+19 8 6 16 
+# number_of_inner_ccbs
+0
+# number_of_isolated_vertices
+1
+4 
+12
+# END FACE
+# BEGIN FACE
+0 1 
+# number_of_outer_ccbs
+1
+# halfedges_on_outer_ccb
+3
+23 18 21 
+# number_of_inner_ccbs
+0
+# number_of_isolated_vertices
+0
+12
+# END FACE
+# END FACES
+# END ARRANGEMENT