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photographs julia set photos fractal photos mathematics photos illustration photos fractal geometry photos maths function photos

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Fractal geometry. Computer graphics image derived from the Julia Set, calculated by the method of decompensation. The Julia Set is a class of shapes plotted from complex number coordinates. Each point is assigned a colour depending upon its behaviour under a series of simple, but repeated, mathematical operations or mappings. The Julia Set was invented and studied during World War I by the French mathematicians Gaston Julia and Pierre Fatou. The better-known Mandelbrot Set arose as a result of attempts, made by the mathematician Benoit Mandelbrot in the 1970's, to rationalise the massive variety of forms of the Julia Set.

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