Great Ditrigonal Icosidodecahedron

The Uniform Polyhedron $U_{47}$ whose Dual is the Great Triambic Icosahedron. It has Wythoff Symbol ${\textstyle{3\over 2}}\,\vert\,3\,5$. Its faces are $20\{3\}+12\{5\}$, and its Circumradius for unit edge length is

$$R={\textstyle{1\over 2}}\sqrt{3}\,.$$

References

Wenninger, M. J. Polyhedron Models. Cambridge, England: Cambridge University Press, pp. 135-136, 1989.