Great Icosicosidodecahedron

$\begin{figure}\begin{center}\BoxedEPSF{U48.epsf scaled 700}\end{center}\end{figure}$

The Uniform Polyhedron $U_{48}$ whose Dual is the Great Icosacronic Hexecontahedron. It has Wythoff Symbol ${\textstyle{3\over 2}}\,5\,\vert\,3$ . Its faces are $20\{3\}+20\{6\}+12\{5\}$ . Its Circumradius for unit edge length is

$\begin{displaymath} R={\textstyle{1\over 4}}\sqrt{34-6\sqrt{5}}\,. \end{displaymath}$

References

Wenninger, M. J. Polyhedron Models. Cambridge, England: Cambridge University Press, pp. 137-139, 1989.