Small Icosihemidodecahedron

The Uniform Polyhedron $U_{49}$ whose Dual Polyhedron is the Small Icosihemidodecacron. It has Wythoff Symbol ${\textstyle{3\over 2}}\,3\,\vert\,5$. Its faces are $20\{3\}+6\{10\}$. It is a Faceted version of the Icosidodecahedron. Its Circumradius with $a=1$ is

$$R=\phi={\textstyle{1\over 2}}(1+\sqrt{5}\,).$$

References

Wenninger, M. J. Polyhedron Models. Cambridge, England: Cambridge University Press, p. 140, 1971.