Mandelbrot Set

Fatou and Julia

Benoit Mandelbrot

M-Set How?

Complex Numbers

Imaginary Numbers

Iteration

M-Set Algorithm

Julia Sets

J-Set Algorithm

Part III

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Fractal

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Lori Gardi

FractalWoman

lgardi22@hotmail.com

 

Part I

Part II

Part III

Part IV

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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Benoit Mandelbrot

Benoit Mandelbrot

In 1979, Benoit Mandelbrot began to study the Mandelbrot and Julia Sets building on the previous work of both Fatou and Julia. With access to the best computers at that time (1979), he began to plot the very first images of the Julia and Mandelbrot Sets and was the first to glimpse the infinite beauty and complexity of these mathematical anomalies.

In 1982, he expanded on his ideas in his influential work “The Fractal Geometry of Nature”, bringing fractals into the mainstream of mathematics, computer science and popular culture.