Mo logo [home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] german flag
Mathematics-Online course: Basic Mathematics - Complex Numbers

Mandelbrot Set

[previous page] [next page] [table of contents][page overview]
The Mandelbrot set consists of all points $ c=a+\mathrm{i}b \overset{\wedge}{=} (a,b)$ of the complex plane, for which the sequence $ z_n$ defined by

$\displaystyle z_{n+1} = z_n^2 + c,\quad z_0 = 0 $

is bounded.

\includegraphics[width=12cm]{a_mandelbrot_bild.eps}

In the figure, the speed of a sequence's divergence has been used to define its colour value. Thus the fractal boundary is particularly accentuated.

(Authors: Höllig/Hörner/Kopf/Abele)
[previous page] [next page] [table of contents][page overview]
  automatically generated 10/31/2008