Fractal geometry: Chaotic Attractors

Fractal geometry: Chaotic Attractors

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Credit: MEHAU KULYK/SCIENCE PHOTO LIBRARY

Caption: Fractal geometry. "Chaotic Attractors", a computer graphics image of a group of complex numbers plotted using their real & imaginary parts as coordinates. Each point is assigned a colour depending upon its behaviour under a series of simple, repetitive mathematical operations. The patterns are infinitely complicated, appearing qualitatively the same on whatever scale they are viewed. A magnification of any part of the image produces an image which looks very similar. The study of such "chaotic" mathematical behaviour is becoming increasingly important as a means of modelling real-world processes from stock market prices to population dynamics & fluid turbulence.

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Keywords: artwork, chaotic attractors, computer graphics, fractal geometry, graphic, mathematical, mathematics, maths function

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