Great Icosihemidodecahedron

$\begin{figure}\begin{center}\BoxedEPSF{U71.epsf scaled 700}\end{center}\end{figure}$

The Uniform Polyhedron $U_{71}$ whose Dual is the Great Icosihemidodecacron. It has Wythoff Symbol ${\textstyle{3\over 2}}\,3\,\vert\,{\textstyle{5\over 3}}$ . Its faces are $20\{3\}+6\{{\textstyle{10\over 3}}\}$ . For unit edge length, its Circumradius is

$\begin{displaymath} R=\phi^{-1}\,, \end{displaymath}$

where $\phi$ is the Golden Ratio.

References

Wenninger, M. J. Polyhedron Models. Cambridge, England: Cambridge University Press, p. 164, 1989.