Manuals/calci/MANDELBROT

MANDELBROT

Description

This function shows the figure of the Mandelbrot.
Fractals are infinitely complex patterns that are self-similar across different scales.
This property is called self-similarity.
Fractals form a never ending pattern, created by repeating a simple process over and over, in an ongoing feedback loop.Mandelbrot Set is the set of points in the complex plane with the sequence $(c,c^{2}+c,{(c^{2}+c)}^{2}+c,{{((c^{2}+c)}^{2}+c)}^{2}+c,{{{(((c^{2}+c)}^{2}+c}^{2}+c)}^{2}+c,...)$ where the result does not approach infinity.
The Julia Set is closely related to Mandelbrot Set.
The Mandelbrot Set is obtained from the quadratic recurrence equation $z_{n+1}={z_{n}}^{2}+c$ , (with $z_{0}$ =0), where points c in the complex plane for which the computed value of $z_{n}$ does not tend to infinity.