The dodecahedron has three Stellations: the Great Dodecahedron, Great Stellated Dodecahedron, and Small Stellated Dodecahedron. The only Stellations of Platonic Solids which are Uniform Polyhedra are these three and one Icosahedron Stellation. Bulatov has produced 270 stellations of a deformed dodecahedron.
See also Icosahedron Stellations, Stellated Polyhedron, Stellation
References
Bulatov, V. ``270 Stellations of Deformed Dodecahedron.''
http://www.physics.orst.edu/~bulatov/polyhedra/dodeca270/.