diff --git a/tutorials/Makefile.am b/tutorials/Makefile.am
index 46da2394..648c2bde 100644
--- a/tutorials/Makefile.am
+++ b/tutorials/Makefile.am
@@ -7,5 +7,5 @@ dist_pkgdata_DATA = boxcyl.geo circle_on_cube.geo cone.geo cube.geo \
 	sculpture.geo shaft.geo shell.geo sphere.geo sphereincube.geo torus.geo trafo.geo \
 	twobricks.geo twocubes.geo twocyl.geo \
 	hinge.stl  part1.stl frame.step  screw.step \
-	demo2d.in2d square.in2d
+	squarehole.in2d square.in2d
 
diff --git a/tutorials/square.in2d b/tutorials/square.in2d
index 5b6aee67..3dd9971f 100644
--- a/tutorials/square.in2d
+++ b/tutorials/square.in2d
@@ -1,14 +1,35 @@
-splinecurves2d
-5
+# keyword for 2D geometry, version 2 
+splinecurves2dv2
+
+
+# a global grading factor
+2
+
+
+# the points (point number, x and y coordinates)
+points
+1       0       0     -maxh=0.01
+2       1       0
+3       1       1
+4       0       1
+
+
+# boundary curves consisting of
+# dl    dr      np      p1      p1      flaglist
+# with 
+# dl ... sub-domain nr on left side 
+# dr ... sub-domain nr on right side 
+# np ... curve is given by 2 (or 3) points
+# p1, p2 ... points defining the curve
+# flagslist
+segments
+1       0       2       1       2       -bc=1  -maxh=0.1
+1       0       2       2       3       -bc=1
+1       0       2       3       4       -bc=1
+1       0       2       4       1       -bc=2
+
+
+materials
+1       domain1   -maxh=0.3
 
-4
-0	0	1
-1	0	1
-1	1	1
-0	1	1
 
-4
-1	0	2	1	2	1
-1	0	2	2	3	1
-1	0	2	3	4	1
-1	0	2	4	1	1
diff --git a/tutorials/squarecircle.in2d b/tutorials/squarecircle.in2d
new file mode 100644
index 00000000..ab563a19
--- /dev/null
+++ b/tutorials/squarecircle.in2d
@@ -0,0 +1,48 @@
+# keyword for 2D geometry, version 2 
+splinecurves2dv2
+
+
+# a global grading factor
+2
+
+
+# the points (point number, x and y coordinates)
+points
+1       0       0   
+2       1       0
+3       1       1
+4       0       1
+5       0.5     0.4
+6       0.6     0.4
+7       0.6     0.5
+8       0.6     0.6
+9       0.5     0.6
+10       0.4     0.6
+11       0.4     0.5
+12       0.4     0.4
+
+
+# boundary curves consisting of
+# dl    dr      np      p1      p1      flaglist
+# with 
+# dl ... sub-domain nr on left side 
+# dr ... sub-domain nr on right side 
+# np ... curve is given by 2 (or 3) points
+# p1, p2 ... points defining the curve
+
+# flagslist
+segments
+1       0       2       1       2       -bc=1
+1       0       2       2       3       -bc=1
+1       0       2       3       4       -bc=1
+1       0       2       4       1       -bc=1
+2       1       3       5       6       7       -bc=2
+2       1       3       7       8       9       -bc=2
+2       1       3       9       10      11      -bc=2
+2       1       3       11      12      5       -bc=2
+
+materials
+1       domain1   -maxh=0.2
+2       domain2   -maxh=0.05
+
+