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Great Rhombicosidodecahedron (Uniform)

\begin{figure}\begin{center}\BoxedEPSF{U67.epsf scaled 700}\end{center}\end{figure}

The Uniform Polyhedron $U_{67}$, also called the Quasirhombicosidodecahedron, whose Dual is the Great Deltoidal Hexecontahedron. It has Schläfli Symbol r' $\left\{{3\atop{\textstyle{5\over 2}}}\right\}$. It has Wythoff Symbol $3\,{\textstyle{5\over 3}}\,\vert\,2$. Its faces are $20\{3\}+30\{4\}+12\{{\textstyle{5\over 2}}\}$. For unit edge length, its Circumradius is

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


Wenninger, M. J. Polyhedron Models. Cambridge, England: Cambridge University Press, pp. 162-163, 1989.

© 1996-9 Eric W. Weisstein