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Mandelbrot set - Wikipedia

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The Mandelbrot set (/ˈmændəlbroʊt, -brɒt/)[1][2] is a two-dimensional set with a relatively simple definition that exhibits great complexity, especially as it is magnified. It is popular for its aesthetic appeal and fractal structures. The set is defined in the complex plane as the complex numbers 𝑐 for which the function 𝑓 𝑐 ( 𝑧 ) = 𝑧 2 + 𝑐 does not diverge to infinity when iterated starting at 𝑧 = 0 , i.e., for which the sequence 𝑓 𝑐 ( 0 ) , 𝑓 𝑐 ( 𝑓 𝑐 ( 0 ) ) , etc., remains bounded in absolute value. This set was first defined and drawn by Robert W. Brooks and Peter Matelski in 1978, as part of a study of Kleinian groups.[3] Afterwards, in 1980, Benoit Mandelbrot obtained high-quality visualizations of the set while working at IBM's Thomas J. Watson Research Center in Yorktown Heights, New York. Images of the Mandelbrot set exhibit an infinitely complicated boundary that reveals progressively ever-finer recursive detail at increasing magnifications; mathematicall

Mandelbrot set - Wikipedia Jump to content From Wikipedia, the free encyclopedia Fractal named after mathematician Benoit Mandelbrot This article needs additional citations for verification . Please help improve this article by adding citations to reliable sources . Unsourced material may be challenged and removed. Find sources:   "Mandelbrot set"  –  news   · newspapers   · books   · scholar   · JSTOR ( June 2024 ) ( Learn how and when to remove this message ) The Mandelbrot set plotted on the complex plane within a continuously colored environment The Mande

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