Great Truncated Cuboctahedron

The Uniform Polyhedron $U_{20}$, also called the Quasitruncated Cuboctahedron, whose Dual is the Great Disdyakis Dodecahedron. It has Schläfli Symbol t' $\{{\textstyle{3\over 4}}\}$ and Wythoff Symbol $2\,3\,{\textstyle{4\over 3}}\,\vert$. Its Circumradius for unit edge length is

$$R={\textstyle{1\over 2}}\sqrt{13-6\sqrt{2}}\,.$$

References

Wenninger, M. J. Polyhedron Models. Cambridge, England: Cambridge University Press, pp. 145-146, 1989.