Octahedron
Cube
Dodecahedron
Icosahedron
Rhombic Dodecahedron (not exactly sure why this one isn't an official Platonic solid)
THIS COMPONENT WAS REPLACED BY: PolyhedraDatabase.tox
http://www.derivative.ca/forum/viewtopic.php?f=22&t=3046
(Featuring the Platonic, Archimedean and Catalan solids, 32 total, plus an interactive viewer).
