Small Ditrigonal Icosidodecahedron

The Uniform Polyhedron $U_{30}$ whose Dual Polyhedron is the Small Triambic Icosahedron. It has Wythoff Symbol $3\,\vert\,3\,{\textstyle{5\over 2}}$. Its faces are $20\{3\}+12\{{\textstyle{5\over 2}}\}$. A Faceted version is the Ditrigonal Dodecadodecahedron. Its Circumradius with $a=1$ is

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

References

Wenninger, M. J. Polyhedron Models. Cambridge, England: Cambridge University Press, pp. 106-107, 1971.