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Pentagonal Cupola

\begin{figure}\begin{center}\BoxedEPSF{J05_net.epsf scaled 700}\end{center}\end{figure}

Johnson Solid $J_{5}$. The bottom 10 Vertices are


\begin{displaymath}
\left({\pm{(1+\sqrt{5})\sqrt{5+\sqrt{5}}\over 4\sqrt{2}}, \p...
...r 2}, 0}\right),
(0, \pm{\textstyle{1\over 2}}(1+\sqrt{5}), 0)
\end{displaymath}

and the top five vertices are

$\left({{\sqrt{5+\sqrt{5}}\over\sqrt{10}}, 0, {\sqrt{5-\sqrt{5}}\over\sqrt{10}}\...
...\textstyle{1\over 4}}(1+\sqrt{5}), {\sqrt{5-\sqrt{5}}\over\sqrt{10}}\,}\right),$
$\left({{-(\sqrt{5}+1)\sqrt{5+\sqrt{5}}\over 4\sqrt{10}}, \pm{1\over 2}, {\sqrt{5-\sqrt{5}}\over\sqrt{10}}\,}\right).$




© 1996-9 Eric W. Weisstein
1999-05-26