Small Stellated Dodecahedron
20 star faces (``5/2 - pentagons'') meet
along their edges, with five star-tips
meeting at each vertex.
The name, ``Small Stellated Dodecahedron'',
refers to a way of constructing this polyhedron
by ``stellation''.
Starting with a dodecahedron, choose one of the faces,
and extend the five adjacent faces to form a
pentagonal-pyramidic ``cap'' (stellation)
for that face.
Construct stellations on top of each of
the twelve faces of the original
dodecahedron, and you get a
stellated dodecahedron,
the Small version.