The small stellated dodecahedron is a Kepler-Poinsot polyhedron. It is one of for nonconvex regular polyhedra and composed of 12 pentagrammic faces, with five pentagrams meeting at each vertex. The sculpture of the small stellated dodecahedron in front of the building that houses the Faculty of Mathematics and the Faculty of Business, Economics and Statistics of the University of Vienna was designed by Austrian mathematician Herwig Hauser.
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