Truncated Tetrahedron

$\begin{figure}\BoxedEPSF{Truncated_tetrahedron_net.epsf}\end{figure}$

An Archimedean Solid whose dual is the Triakis Tetrahedron. It has Schläfli Symbol t $\{3,3\}$ . It is also Uniform Polyhedron and has Wythoff Symbol $2\,3\,\vert\,3$ . Its faces are $4\{3\}+4\{6\}$ . The Inradius, Midradius, and Circumradius for a truncated tetrahedron with are

$\displaystyle r$	$\textstyle =$	$\displaystyle {\textstyle{9\over 44}}\sqrt{22} \approx 0.95940$
$\displaystyle \rho$	$\textstyle =$	$\displaystyle {\textstyle{3\over 4}}\sqrt{2} \approx 1.06066$
$\displaystyle R$	$\textstyle =$	$\displaystyle {\textstyle{1\over 4}}\sqrt{22} \approx 1.17260.$