Great Rhombihexahedron

The Uniform Polyhedron $U_{21}$ whose Dual is the Great Rhombihexacron. It has Wythoff Symbol $2\,{\textstyle{4\over 3}}\,\left.{{\textstyle{3\over 2}}\atop{\textstyle{4\over 2}}}\right\vert$. Its faces are $12\{4\}+6\{{\textstyle{5\over 3}}\}$. 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. 159-160, 1989.