Small Cubicuboctahedron

Uniform Polyhedron $U_{13}$ whose Dual Polyhedron is the Small Hexacronic Icositetrahedron. It has Wythoff Symbol ${\textstyle{3\over 2}}\,4\,\vert\,4$. Its faces are $8\{3\}+6\{4\}+6\{8\}$. The Circumradius for the solid with unit edge length is

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

Faceted versions include the Great Rhombicuboctahedron (Uniform) and Small Rhombihexahedron.

References

Wenninger, M. J. Polyhedron Models. Cambridge, England: Cambridge University Press, pp. 104-105, 1971.