Regular Stars
Not an example of this, but inspired by the Schläfli-Hess polychoron at Geometry Daily.
http://geometrydaily.tumblr.com/post/26209358114/182-a-schlafli-hess-polychoron-a-new-minimal
More info at Wikipedia: http://en.wikipedia.org/wiki/Schl%C3%A4fli%E2%80%93Hess_polychoron