Icosidodecadodecahedron

$\begin{figure}\begin{center}\BoxedEPSF{U44.epsf scaled 700}\end{center}\end{figure}$

The Uniform Polyhedron $U_{44}$ whose Dual Polyhedron is the Medial Icosacronic Hexecontahedron. It has Wythoff Symbol ${\textstyle{5\over 3}}\,5\,\vert\,3$ . Its faces are $20\{6\}+12\{{\textstyle{5\over 2}}\}+12\{5\}$ . Its Circumradius for unit edge length is

$\begin{displaymath} R={\textstyle{1\over 2}}\sqrt{7}\,. \end{displaymath}$

References

Wenninger, M. J. Polyhedron Models. Cambridge, England: Cambridge University Press, pp. 128-129, 1989.