diff --git a/Triangulation_3/test/Triangulation_3/CMakeLists.txt b/Triangulation_3/test/Triangulation_3/CMakeLists.txt
index 2a43750e7d2..348cc3e8581 100644
--- a/Triangulation_3/test/Triangulation_3/CMakeLists.txt
+++ b/Triangulation_3/test/Triangulation_3/CMakeLists.txt
@@ -96,6 +96,7 @@ CGAL_add_cdt3_from_local_off_test(cheese36)
 CGAL_add_cdt3_from_local_off_test(cheese6-PLCerrorWithFace0)
 CGAL_add_cdt3_from_local_off_test(HexiCosPot-11)
 CGAL_add_cdt3_from_local_off_test(HexiCosPot-1)
+CGAL_add_cdt3_from_local_off_test(HexiCosPot-10a)
 CGAL_add_cdt3_from_local_off_test(HexiCosPot-1-reduced)
 CGAL_add_cdt3_from_local_off_test(HexiCosPot-1-sv)
 CGAL_add_cdt3_from_local_off_test(HexiCosPot-1-sv-reduced)
diff --git a/Triangulation_3/test/Triangulation_3/data/HexiCosPot-10a.off b/Triangulation_3/test/Triangulation_3/data/HexiCosPot-10a.off
new file mode 100644
index 00000000000..3d38bd0ffa5
--- /dev/null
+++ b/Triangulation_3/test/Triangulation_3/data/HexiCosPot-10a.off
@@ -0,0 +1,227 @@
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