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.
The Mandelbrot set can be explained with the equation Z_n+1 = Z_n² + 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 Z_n 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
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A detailed of sets, Julia Sets and the Mandlebrot Set can be found in the Set Demonstration experiment.

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