* If @p dim is 3, the mesh will be the volume of the torus, using a mesh
* equivalent to the circle in the poloidal coordinates with 5 cells on the
* cross section. This function attaches a TorusManifold to all boundary
- * faces which are marked with a manifold id of 0, a CylindricalManifold to
+ * faces which are marked with a manifold id of 1, a CylindricalManifold to
* the interior cells and all their faces which are marked with a manifold
* id of 2 (representing a flat state within the poloidal coordinates), and
* a TransfiniteInterpolationManifold to the cells between the TorusManifold
* on the surface and the ToroidalManifold in the center, with cells marked
- * with manifold id 1.
+ * with manifold id 0.
+ *
+ * An example for the case if @p dim is 3 with a cut through the domain at
+ * $z=0$, 6 toroidal cells, $R=2$ and $r=0.5$ without any global refinement
+ * is given here:
+ *
+ * @image html torus_manifold_ids.png
+ *
+ * In this picture, the light gray shade represents the manifold id 0 of the
+ * transfinite interpolation, which is applied to smoothly add new points
+ * between the toroidal shape on the domain boundary and the inner rim where
+ * a cylindrical description around the y-axis is prescribed. The inner rim
+ * with the manifold id 2 is shown in red shade.
*
* If @p dim is 2, the mesh will describe the surface of the torus and this
* function attaches a TorusManifold to all cells and faces (which are