Great Dodecicosahedron

$\begin{figure}\begin{center}\BoxedEPSF{U63.epsf scaled 700}\end{center}\end{figure}$

The Uniform Polyhedron $U_{63}$ whose Dual is the Great Dodecicosacron. It has Wythoff Symbol $3\,{\textstyle{5\over 3}}\,\vert\,\left.{{\textstyle{3\over 2}}\atop{\textstyle{5\over 2}}}\right\vert$ . Its faces are $20\{6\}+12\{{\textstyle{10\over 3}}\}$ . 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. 156-157, 1989.