Small Dodecahemidodecahedron

The Uniform Polyhedron $U_{51}$ whose Dual Polyhedron is the Small Dodecahemidodecacron. It has Wythoff Symbol $2\,5\,{{\textstyle{3\over 2}}\atop{\textstyle{5\over 2}}}$. Its faces are $30\{4\}+12\{10\}$. Its Circumradius with $a=1$ is

$$R={\textstyle{1\over 2}}\sqrt{11+4\sqrt{5}}\,.$$

References

Wenninger, M. J. Polyhedron Models. Cambridge, England: Cambridge University Press, pp. 113-114, 1971.