Here 16 cylinders intersect. 10 axis passe through corners of the dodecahedron and 6 through the center of edges of the cube inserted in the dodecahedron. Added 2.3.2009.

 

 

With radius 1 the surface of the intersection is

12.6885829215898

and its volume is a third of the surface.

 

The intersection has 396 facets.