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Great Dodecicosahedron

\begin{figure}\begin{center}\BoxedEPSF{U63.epsf scaled 700}\end{center}\end{figure}

The Uniform Polyhedron $U_{63}$ whose Dual is the Great Dodecicosacron. It has Wythoff Symbol $3\,{\textstyle{5\over 3}}\,\vert\,\left.{{\textstyle{3\over 2}}\atop{\textstyle{5\over 2}}}\right\vert$. Its faces are $20\{6\}+12\{{\textstyle{10\over 3}}\}$. Its Circumradius for unit edge length is

R={\textstyle{1\over 4}}\sqrt{34-6\sqrt{5}}\,.


Wenninger, M. J. Polyhedron Models. Cambridge, England: Cambridge University Press, pp. 156-157, 1989.

© 1996-9 Eric W. Weisstein