Great Rhombicosidodecahedron (Uniform)

$\begin{figure}\begin{center}\BoxedEPSF{U67.epsf scaled 700}\end{center}\end{figure}$

The Uniform Polyhedron $U_{67}$ , also called the Quasirhombicosidodecahedron, whose Dual is the Great Deltoidal Hexecontahedron. It has Schläfli Symbol r' $\left\{{3\atop{\textstyle{5\over 2}}}\right\}$ . It has Wythoff Symbol $3\,{\textstyle{5\over 3}}\,\vert\,2$ . Its faces are $20\{3\}+30\{4\}+12\{{\textstyle{5\over 2}}\}$ . For unit edge length, its Circumradius is

$\begin{displaymath} R={\textstyle{1\over 2}}\sqrt{11-4\sqrt{5}}\,. \end{displaymath}$

References

Wenninger, M. J. Polyhedron Models. Cambridge, England: Cambridge University Press, pp. 162-163, 1989.