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Randelbrot Set

\begin{figure}\begin{center}\BoxedEPSF{RandelbrotSet.epsf}\end{center}\end{figure}

The Fractal-like figure obtained by performing the same iteration as for the Mandelbrot Set, but adding a random component $R$,

\begin{displaymath}
z_{n+1}={z_n}^2+c+R.
\end{displaymath}

In the above plot, $R\equiv R_x+iR_y$, where $R_x, R_y\in [-0.05,0.05]$.

See also Mandelbrot Set


References

Dickau, R. M. ``Randelbrot Set.'' http://forum.swarthmore.edu/advanced/robertd/randelbrot.html.




© 1996-9 Eric W. Weisstein
1999-05-25