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Modeling RealityHow Computers Mirror Life$
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Iwo Bialynicki-Birula and Iwona Bialynicka-Birula

Print publication date: 2004

Print ISBN-13: 9780198531005

Published to Oxford Scholarship Online: January 2010

DOI: 10.1093/acprof:oso/9780198531005.001.0001

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From Cantor to Mandelbrot

From Cantor to Mandelbrot

Self-similarity and fractals

(p.73) 8 From Cantor to Mandelbrot
Modeling Reality

Iwo Białynicki-Birula

Iwona Białynicka-Birula

Oxford University Press

Objects that look similar after magnification are said to have fractal structure. Perfect fractals can exist only in mathematics but in the real world we have plenty of approximate fractals, from cauliflowers and ferns to internet networks. A characteristic feature of fractals is their dimension, different from a natural number. Mathematical fractals are obtained by a precise prescription, but surprisingly, they can be generated by a random walk.

Keywords:   fractal dimension, fractal structure, perfect fractals, approximate fractals

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