The Mandelbrot Set - Video

The Mandelbrot Set has a place in complex dynamics, a field first investigated by the French mathematicians Pierre Fatou and Gaston Julia at the beginning of the 20th century. Pictures of it were first drawn in 1978 by Brooks and Matelski as part of a study of Kleinian Groups.

The Mandelbrot set is a fractal that has become popular outside of mathematics both for its aesthetic appeal and a complicated structure arising from a simple definition. Benoît Mandelbrot and others worked hard to communicate this area of mathematics to the public.

Mandelbrot studied the parameter space of quadratic polynomials in an article which appeared in 1980. The mathematical study of the Mandelbrot set really began with work by the mathematicians Adrien Douady and John H. Hubbard, who established many fundamental properties of M, and named the set in honor of Mandelbrot.

To sum all this up - the deeper you go into Mandelbrot, the more complexity you will find as you can see in this animation.

This video captures the aesthetic beauty of the Mandelbrot Set.