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The Uniform Polyhedron 
 also called the Icosidodecatruncated Icosidodecahedron whose Dual
Polyhedron is the Tridyakis Icosahedron. It has Wythoff Symbol 
.  Its faces are
.  Its Circumradius for unit edge length is
References
Wenninger, M. J.  Polyhedron Models.  Cambridge, England: Cambridge University Press, pp. 130-131, 1989.