Small Rhombihexahedron

The Uniform Polyhedron $U_{18}$ whose Dual Polyhedron is the Small Rhombihexacron. It has Wythoff Symbol $2\,4\,\left.{{\textstyle{3\over 2}}\atop{\textstyle{4\over 2}}}\right\vert$. Its faces are $12\{4\}+6\{8\}$. It is a Faceted version of the Small Rhombicuboctahedron. Its Circumradius with $a=1$ is

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

References

Wenninger, M. J. Polyhedron Models. Cambridge, England: Cambridge University Press, p. 134, 1971.