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Truncated Tetrahedron


An Archimedean Solid whose dual is the Triakis Tetrahedron. It has Schläfli Symbol t$\{3,3\}$. It is also Uniform Polyhedron $U_2$ 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 $a=1$ are

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

© 1996-9 Eric W. Weisstein