diff --git a/tutorial/t3.geo b/tutorial/t3.geo
index e5fe6adb5e6c647d0d85aa51d5d3c49a659b513b..5547ab7b3d844ceb438eb925886598dbf77ce152 100644
--- a/tutorial/t3.geo
+++ b/tutorial/t3.geo
@@ -13,21 +13,21 @@ Include "t1.geo";
 // As in `t2.geo', we plan to perform an extrusion along the z axis.
 // But here, instead of only extruding the geometry, we also want to
 // extrude the 2D mesh. This is done with the same `Extrude' command,
-// but by specifying the number of layers (4 layers in this case, each
-// with heights equal to h/4, but with 8, 4, 2 and 1 subdivisions,
-// respectively):
+// but by specifying element 'Layers' (2 layers in this case, the
+// first one with 8 subdivisions and the second one with 2
+// subdivisions, both with a height of h/2):
 
 h = 0.1;
 
 Extrude {0,0,h} { 
-  Surface{6}; Layers{ {8,4,2,1}, {0.25,0.5,0.75,1} }; 
+  Surface{6}; Layers{ {8,2}, {0.5,1} }; 
 }
 
 // The extrusion can also be performed with a rotation instead of a
 // translation, and the resulting mesh can be recombined into prisms
 // (wedges). All rotations are specified by an axis direction
 // ({0,1,0}), an axis point ({-0.1,0,0.1}) and a rotation angle
-// (-Pi/2):
+// (-Pi/2) (only one layer here, with 7 subdivisions):
 
 Extrude { {0,1,0} , {-0.1,0,0.1} , -Pi/2 } { 
   Surface{122}; Layers { 7, 1 }; Recombine; 
@@ -40,10 +40,11 @@ out[] = Extrude { {-2*h,0,0}, {1,0,0} , {0,0.15,0.25} , Pi/2 } {
   Surface{news-1}; Layers{ 10, 1 }; Recombine; 
 };
 
-// In the last extrusion command we retrieved the volume
+// In this last extrusion command we retrieved the volume
 // number programatically by saving the output of the command
 // into an array. This array will contain the "top" of the extruded
-// surface as well as the newly created volume.
+// surface (in out[0]) as well as the newly created volume (in
+// out[1]).
 
 // We can then define a new physical volume to save all
 // the tetrahedra with a common region number (101):