Great Rhombidodecahedron

$\begin{figure}\begin{center}\BoxedEPSF{U73.epsf scaled 700}\end{center}\end{figure}$

The Uniform Polyhedron $U_{73}$ whose Dual is the Great Rhombidodecacron. It has Wythoff Symbol $2\,{\textstyle{5\over 3}}\,\vert\,\left.{{\textstyle{3\over 2}}\atop{\textstyle{5\over 4}}}\right\vert$ . Its faces are $30\{4\}+12\{{\textstyle{10\over 3}}\}$ . Its Circumradius for unit edge length 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. 168-170, 1989.