info prev up next book cdrom email home

Pear Curve

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

The Lemniscate $L_3$ in the iteration towards the Mandelbrot Set. In Cartesian Coordinates with a constant $r$, the equation is given by

$r^2 = (x^2+y^2)(1+2x+5x^2+6x^3+6x^4+4x^5+x^6-3y^2$
$ -2xy^2+8x^2y^2+8x^3y^2+3x^4y^2+2y^4+4xy^4+3x^2y^4+y^6).$

See also Pear-Shaped Curve



© 1996-9 Eric W. Weisstein
1999-05-26