Truncated Dodecadodecahedron

The Uniform Polyhedron $U_{59}$, also called the Quasitruncated Dodecahedron, whose Dual Polyhedron is the Medial Disdyakis Triacontahedron. It has Schläfli Symbol t' $\left\{{{\textstyle{5\over 2}}\atop 5}\right\}$ and Wythoff Symbol $2\,{\textstyle{5\over 3}}\,\vert\,5$. Its faces are $12\{10\}+30\{4\}+12\{{\textstyle{10\over 3}}\}$. Its Circumradius for $a=1$ is

$$R={\textstyle{1\over 2}}\sqrt{11}\,.$$

References

Wenninger, M. J. Polyhedron Models. Cambridge, England: Cambridge University Press, pp. 152-153, 1989.