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Truncated Cube

\begin{figure}\BoxedEPSF{Truncated_Cube_net.epsf scaled 800}\end{figure}

An Archimedean Solid whose Dual Polyhedron is the Triakis Octahedron. It has Schläfli Symbol t$\{4,3\}$. It is also Uniform Polyhedron $U_9$ and has Wythoff Symbol $2\,3\,\vert\,4$. Its faces are $8\{3\}+6\{8\}$. The Inradius, Midradius, and Circumradius for $a=1$ are

$\displaystyle r$ $\textstyle =$ $\displaystyle {\textstyle{1\over 17}}(5+2\sqrt{2}\,)\sqrt{7+4\sqrt{2}} \approx 1.63828$  
$\displaystyle \rho$ $\textstyle =$ $\displaystyle {\textstyle{1\over 2}}(2+\sqrt{2}\,) \approx 1.70711$  
$\displaystyle R$ $\textstyle =$ $\displaystyle {\textstyle{1\over 2}}\sqrt{7+4\sqrt{2}} \approx 1.77882.$  


Ball, W. W. R. and Coxeter, H. S. M. Mathematical Recreations and Essays, 13th ed. New York: Dover, p. 138, 1987.

© 1996-9 Eric W. Weisstein