Mandelbrot set:- Mandelbrot, sharp

Mandelbrot set:- Mandelbrot, sharp

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Credit: GREGORY SAMS/SCIENCE PHOTO LIBRARY

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Caption: NOT FOR POSTCARD USE Fractal geometry. A computer graphics image, entitled Mandelbrot Sharp, showing the Mandelbrot Set, a group of complex numbers plotted using their real and imaginary parts as coordinates. Each point is assigned a colour depending upon its behaviour under a series of simple, but repeated, mathematical operations or mappings. The patterns are infinitely complicated, but appear to repeat themselves on whatever scale they are viewed. The study of such "chaotic" behaviour is now used as a means of modelling real-world processes.

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Keywords: chaos, complex numbers, fractal, fractal geometry, fractals, mandelbrot set, mandelbrot sharp, mathematical, mathematics, maths function

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