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Truncated Great Dodecahedron

The Uniform Polyhedron $U_{37}$ whose Dual Polyhedron is the Small Stellapentakis Dodecahedron. It has Schläfli Symbol t $\{5,{\textstyle{5\over 2}}\}$. It has Wythoff Symbol $2\,{\textstyle{5\over 2}}\,5$. Its faces are $12\{{\textstyle{5\over 2}}\}+12\{10\}$. Its Circumradius for $a=1$ is

R={\textstyle{1\over 4}}\sqrt{34+10\sqrt{5}}\,.

See also Great Icosahedron


Wenninger, M. J. Polyhedron Models. Cambridge, England: Cambridge University Press, p. 115, 1971.

© 1996-9 Eric W. Weisstein