I made this using Stella 4d: Polyhedron Navigator, a program you can try for free at this website.
The Flaming Lips wrote and recorded this song, and Bill Watterson drew this cartoon of Calvin and his brain. All I did was put the two together.
Symmetrohedra are polyhedra with some form of polyhedral symmetry, and many (not necessarily all) regular faces. The first two symmetrohedra here each include four regular enneagons as faces.
The next two symmetrohedra each include four regular dodecagons as faces.
All four of these were made using Stella 4d, which you can try out for free at http://www.software3d.com/Stella.php.