Small Dodecicosahedron

The Uniform Polyhedron $U_{50}$ whose Dual Polyhedron is the Small Dodecicosacron. It has Wythoff Symbol $3\,5\,\left.{{\textstyle{3\over 2}}\atop{\textstyle{5\over 4}}}\right\vert$. Its faces are $20\{6\}+12\{10\}$. Its Circumradius with $a=1$ is

$$R={\textstyle{1\over 4}}\sqrt{34+6\sqrt{5}}\,.$$

References

Wenninger, M. J. Polyhedron Models. Cambridge, England: Cambridge University Press, pp. 141-142, 1971.