Square Cupola

$\begin{figure}\BoxedEPSF{J04_net.epsf scaled 600}\end{figure}$

Johnson Solid $J_{4}$ . The bottom eight Vertices are

$\begin{displaymath} (\pm{\textstyle{1\over 2}}(1+\sqrt{2}), \pm{\textstyle{1\ove... ...xtstyle{1\over 2}}, \pm{\textstyle{1\over 2}}(1+\sqrt{2}), 0), \end{displaymath}$

and the top four Vertices are

$\begin{displaymath} \left({\pm{1\over\sqrt{2}}, 0, {1\over\sqrt{2}}}\right), \left({0, \pm{1\over\sqrt{2}}, {1\over\sqrt{2}}}\right). \end{displaymath}$