Great Dodecicosidodecahedron

$\begin{figure}\begin{center}\BoxedEPSF{U61.epsf scaled 700}\end{center}\end{figure}$

The Uniform Polyhedron $U_{61}$ whose Dual is the Great Dodecacronic Hexecontahedron. Its Wythoff Symbol is $2\,{\textstyle{5\over 2}}\,\vert\,3$ . Its faces are $20\{6\}+12\{{\textstyle{5\over 2}}\}$ , and its Circumradius for unit edge length is

$\begin{displaymath} R={\textstyle{1\over 4}}\sqrt{58-18\sqrt{5}}\,. \end{displaymath}$

References

Wenninger, M. J. Polyhedron Models. Cambridge, England: Cambridge University Press, p. 148, 1989.