Great Stellated Dodecahedron
12 star faces (``5/2 - pentagons'') meet
along their edges, with three star-tips
meeting at each vertex.
The name, ``Great Stellated Dodecahedron'',
refers to a way of constructing this polyhedron
by ``stellation''.
Starting with a dodecahedron, find three
maximally-separated faces
and extend them
to form a long triangular-pyramidic arm
-- a stellation.
... ---> ...
Do the same for all twenty groups of
similarly separated faces of the original
dodecahedron, and you get a
stellated dodecahedron,
the Great version.