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Mandlebrot Set
The Mandelbrot set is a famous example of a fractal in mathematics. It is named after Benoît Mandelbrot,
a Polish-French-American mathematician. The Mandelbrot set is important for the chaos theory. The edging
of the set shows a self-similarity, which is not perfect because it has deformations.
26 Nov 2019
The Mandelbrot set can be explained with the equation Zn+1 = Zn2 + C. In that equation, C and Z are complex numbers and n is zero or a positive integer (natural number). Starting with Z0 = 0, C is in the Mandelbrot set if the absolute value of Zn never becomes larger than a certain number (that number depends on C), no matter how large n gets.
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| Variable | Range | Value |
| Iterations | 2 - 1000 | |
| Threshold | 5 - 50 | |
A detailed of sets, Julia Sets and the Mandlebrot Set can be found in the Set Demonstration experiment.