Mandelbrot set:- Chaos canyon

Mandelbrot set:- Chaos canyon

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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 en- titled Chaos Canyon. The image is a 3-dimensional transformation derived from the Mandelbrot Set, a group of complex numbers plotted using their real & imaginary parts as coordinates. The colour of each point depends upon its behaviour under a series of simple, but repeated, mathematical operations (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, chaos canyon, complex numbers, fractal geometry, fractal title, fractals, mandelbrot set, mathematical, mathematics, maths function

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