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Great Ditrigonal Dodecicosidodecahedron

\begin{figure}\begin{center}\BoxedEPSF{U42.epsf scaled 700}\end{center}\end{figure}

The Uniform Polyhedron $U_{42}$ whose Dual is the Great Ditrigonal Dodecacronic Hexecontahedron. It has Wythoff Symbol $3\,5\,\vert\,{\textstyle{5\over 3}}$. Its faces are $20\{3\}+12\{5\}+12\{{\textstyle{10\over 3}}\}$, and 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, p. 125, 1989.

© 1996-9 Eric W. Weisstein