Truncated Great Dodecahedron

The Uniform Polyhedron $U_{37}$ whose Dual Polyhedron is the Small Stellapentakis Dodecahedron. It has Schläfli Symbol t $\{5,{\textstyle{5\over 2}}\}$. It has Wythoff Symbol $2\,{\textstyle{5\over 2}}\,5$. Its faces are $12\{{\textstyle{5\over 2}}\}+12\{10\}$. Its Circumradius for $a=1$ is

$$R={\textstyle{1\over 4}}\sqrt{34+10\sqrt{5}}\,.$$

See also Great Icosahedron

References

Wenninger, M. J. Polyhedron Models. Cambridge, England: Cambridge University Press, p. 115, 1971.