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Benoit B. Mandelbrot [a] [b] (20 November 1924 – 14 October 2010) was a Polish-born French-American mathematician and polymath with broad interests in the practical sciences, especially regarding what he labeled as "the art of roughness" of physical phenomena and "the uncontrolled element in life".
The Mandelbrot set, named after Benoît Mandelbrot, is a set of points in the complex plane, the boundary of which forms a fractal. When computed and graphed on the complex plane the Mandelbrot Set is seen to have an elaborate boundary which does not simplify at any given magnification. Above is a magnification of the boundary.
This image is a part of a set of featured pictures, which means that members of the community have identified it as part of a related set of the finest images on the English Wikipedia. The main image in the set is Mandel zoom 00 mandelbrot set.jpg .
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Zooming into the boundary of the Mandelbrot set. Images of the Mandelbrot set exhibit an infinitely complicated boundary that reveals progressively ever-finer recursive detail at increasing magnifications; mathematically, the boundary of the Mandelbrot set is a fractal curve. The "style" of this recursive detail depends on the region of the set ...
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A zoom sequence illustrating the set of complex numbers termed the Mandelbrot set. Images of the set, which was defined and named by Adrien Douady in tribute to the mathematician Benoit Mandelbrot , may be created by sampling the complex numbers and determining whether the result of iterating for each sample point c {\displaystyle c} goes to ...
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