diff --git a/src/BRepAlgo/BRepAlgo.cxx b/src/BRepAlgo/BRepAlgo.cxx
index a6bdf8a1d2..40a6277af9 100644
--- a/src/BRepAlgo/BRepAlgo.cxx
+++ b/src/BRepAlgo/BRepAlgo.cxx
@@ -421,9 +421,9 @@ TopoDS_Edge  BRepAlgo::ConcatenateWireC0(const TopoDS_Wire& aWire)
     isReverse = !IsFwdSeq(1);
   }
 
-  TopoDS_Vertex FirstVtx_final = (isReverse)? LastVertex : FirstVertex;
+  TopoDS_Vertex FirstVtx_final = FirstVertex;
   FirstVtx_final.Orientation(TopAbs_FORWARD);
-  TopoDS_Vertex LastVtx_final = (isReverse)? FirstVertex : LastVertex;
+  TopoDS_Vertex LastVtx_final = LastVertex;
   LastVtx_final.Orientation(TopAbs_REVERSED);
 
   if (CurveSeq.IsEmpty())
diff --git a/tests/bugs/modalg_7/bug29573 b/tests/bugs/modalg_7/bug29573
new file mode 100644
index 0000000000..d291f5f72e
--- /dev/null
+++ b/tests/bugs/modalg_7/bug29573
@@ -0,0 +1,14 @@
+puts "========"
+puts "0029573: ConcatenateWireC0 crashes on two edges wire"
+puts "========"
+puts ""
+
+restore [locate_data_file bug29573.brep] w
+
+explode w
+
+concatC0wire r1 w_1
+checknbshapes r1 -vertex 2 -edge 1
+
+concatC0wire r2 w_2
+checknbshapes r2 -vertex 2 -edge 1