Great Rhombicuboctahedron (Uniform)

The Uniform Polyhedron $U_{17}$, also known as the Quasirhombicuboctahedron, whose Dual is the Great Deltoidal Icositetrahedron. It has Schläfli Symbol r' $\{{\textstyle{3\over 4}}\}$ and Wythoff Symbol ${\textstyle{3\over 2}}\,4\,\vert\,2$. Its faces are $8\{3\}+20\{4\}$. Its Circumradius for unit edge length is

$$R={\textstyle{1\over 2}}\sqrt{5-2\sqrt{2}}\,.$$

References

Wenninger, M. J. Polyhedron Models. Cambridge, England: Cambridge University Press, pp. 132-133, 1989.