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Great Rhombicuboctahedron (Uniform)

The Uniform Polyhedron $U_{17}$, also known as the Quasirhombicuboctahedron, whose Dual is the Great Deltoidal Icositetrahedron. It has Schläfli Symbol r' $\{{\textstyle{3\over 4}}\}$ and Wythoff Symbol ${\textstyle{3\over 2}}\,4\,\vert\,2$. Its faces are $8\{3\}+20\{4\}$. Its Circumradius for unit edge length is

R={\textstyle{1\over 2}}\sqrt{5-2\sqrt{2}}\,.


Wenninger, M. J. Polyhedron Models. Cambridge, England: Cambridge University Press, pp. 132-133, 1989.

© 1996-9 Eric W. Weisstein