Great Snub Dodecicosidodecahedron

$\begin{figure}\begin{center}\BoxedEPSF{U64.epsf scaled 700}\end{center}\end{figure}$

The Uniform Polyhedron $U_{64}$ whose Dual is the Great Hexagonal Hexecontahedron. It has Wythoff Symbol $\vert\,3\,{\textstyle{5\over 3}}\,{\textstyle{5\over 2}}$ . Its faces are $80\{3\}+24\{{\textstyle{5\over 2}}\}$ . Its Circumradius for unit edge length is

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

References

Wenninger, M. J. Polyhedron Models. Cambridge, England: Cambridge University Press, pp. 183-185, 1989.