The Uniform Polyhedron whose Dual Polyhedron is the Medial Rhombic Triacontahedron. The
solid is also called the Great Dodecadodecahedron, and its Dual Polyhedron is also called the Small
Stellated Triacontahedron. It can be obtained by Truncating a Great Dodecahedron or
Faceting a Icosidodecahedron with Pentagons and covering remaining open spaces with
Pentagrams (Holden 1991, p. 103). A Faceted version is the Great
Dodecahemicosahedron. The dodecadodecahedron is an Archimedean Solid Stellation. The dodecadodecahedron has
Schläfli 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.

© 1996-9

1999-05-24