Great Stellated Truncated Dodecahedron

The Uniform Polyhedron $U_{66}$, also called the Quasitruncated Great Stellated Dodecahedron, whose Dual is the Great Triakis Icosahedron. It has Schläfli Symbol t' $\{{\textstyle{5\over 2}}, 3\}$ and Wythoff Symbol $2\,3\,\vert\,{\textstyle{5\over 3}}$. Its faces are $20\{3\}+12\{{\textstyle{10\over 3}}\}$. Its Circumradius for unit edge length is

$$R={\textstyle{1\over 4}}\sqrt{74-30\sqrt{5}}\,.$$

References

Wenninger, M. J. Polyhedron Models. Cambridge, England: Cambridge University Press, p. 161, 1989.