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 ,

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

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

References