Dodecadodecahedron
The Uniform Polyhedron 
whose Dual Polyhedron is the Medial Rhombic Triacontahedron. Thesolid is also called the Great Dodecadodecahedron, and its Dual Polyhedron is also called the SmallStellated Triacontahedron. It can be obtained by Truncating a Great Dodecahedron orFaceting a Icosidodecahedron with Pentagons and covering remaining open spaces withPentagrams (Holden 1991, p. 103). A Faceted version is the GreatDodecahemicosahedron. The dodecadodecahedron is an Archimedean Solid Stellation. The dodecadodecahedron hasSchläfli Symbol 
and Wythoff Symbol
. Its faces are 
, and its Circumradius for unit edge length is
References
Cundy, H. and Rollett, A. Mathematical Models, 3rd ed. Stradbroke, England: Tarquin Pub., p. 123, 1989. Holden, A. Shapes, Space, and Symmetry. New York: Dover, 1991. Wenninger, M. J. Polyhedron Models. Cambridge, England: Cambridge University Press, p. 112, 1989.