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Small Dodecicosidodecahedron

\begin{figure}\begin{center}\BoxedEPSF{U33.epsf scaled 700}\end{center}\end{figure}

The Uniform Polyhedron $U_{33}$ whose Dual Polyhedron is the Small Dodecacronic Hexecontahedron. It has Wythoff Symbol ${\textstyle{3\over 2}}\,5\,\vert\,5$. Its faces are $20\{3\}+12\{5\}+12\{10\}$. It is a Faceted version of the Small Rhombicosidodecahedron. Its Circumradius with $a=1$ is

R={\textstyle{1\over 2}}\sqrt{11+4\sqrt{5}}\,.


Wenninger, M. J. Polyhedron Models. Cambridge, England: Cambridge University Press, pp. 110-111, 1971.

© 1996-9 Eric W. Weisstein