This polyhedron has 4292 faces. In the first image shown, they are colored by face type. In the second, the coloring is done by the number of sides of each face.

Finally, the last image here shows this zonish polyhedron in “rainbow color mode.” All of these images were made using Stella 4d: Polyhedron Navigator, which you can try for free at http://www.software3d.com/Stella.php.