Epispiral Inverse Curve

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

$\begin{displaymath} r=a\sec(n\theta) \end{displaymath}$

with Inversion Center at the origin and inversion radius

is the Rose

$\begin{displaymath} r={k\cos(n\theta)\over a}. \end{displaymath}$