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Snub Dodecadodecahedron

\begin{figure}\begin{center}\BoxedEPSF{U40.epsf scaled 700}\end{center}\end{figure}

The Uniform Polyhedron $U_{40}$ whose Dual Polyhedron is the Medial Pentagonal Hexecontahedron. It has Wythoff Symbol $\vert\,2\,{\textstyle{5\over 2}}\,5$. Its faces are $12\{{\textstyle{5\over 2}}\}+60\{3\}+12\{5\}$. It has Circumradius for $a=1$ of


See also Snub Cube


Ball, W. W. R. and Coxeter, H. S. M. Mathematical Recreations and Essays, 13th ed. New York: Dover, p. 139, 1987.

Coxeter, H. S. M.; Longuet-Higgins, M. S.; and Miller, J. C. P. ``Uniform Polyhedra.'' Phil. Trans. Roy. Soc. London Ser. A 246, 401-450, 1954.

Wenninger, M. J. Polyhedron Models. Cambridge, England: Cambridge University Press, pp. 174-176, 1971.

© 1996-9 Eric W. Weisstein