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Great Truncated Icosidodecahedron

\begin{figure}\begin{center}\BoxedEPSF{U68.epsf scaled 700}\end{center}\end{figure}

The Uniform Polyhedron $U_{68}$, also called the Great Quasitruncated Icosidodecahedron, whose Dual is the Great Disdyakis Triacontahedron. It has Schläfli Symbol t' $\left\{{3\atop{\textstyle{5\over 2}}}\right\}$ and Wythoff Symbol $2\,3\,{\textstyle{5\over 3}}\,\vert$. Its faces are $20\{6\}+30\{4\}+12\{{\textstyle{10\over 3}}\}$. Its Circumradius for unit edge length is

R={\textstyle{1\over 2}}\sqrt{31-12\sqrt{5}}\,.


Wenninger, M. J. Polyhedron Models. Cambridge, England: Cambridge University Press, pp. 166-167, 1989.

© 1996-9 Eric W. Weisstein