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Great Icosicosidodecahedron

\begin{figure}\begin{center}\BoxedEPSF{U48.epsf scaled 700}\end{center}\end{figure}

The Uniform Polyhedron $U_{48}$ whose Dual is the Great Icosacronic Hexecontahedron. It has Wythoff Symbol ${\textstyle{3\over 2}}\,5\,\vert\,3$. Its faces are $20\{3\}+20\{6\}+12\{5\}$. 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. 137-139, 1989.

© 1996-9 Eric W. Weisstein