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Generating Fractals

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Part of the book series: Methods in Physiology Series ((METHPHYS))

Abstract

Examples provided earlier as introductions to fractal ideas, such as the Koch snowflake, fall into the class of geometric fractals. They are simple, beautiful, and powerful. They startle us: so much diversity is captured in such simple beginnings. The power is not so much in the “beginning,” but in the process of recursion. A simple act, repeated sufficiently often, creates extraordinary, often unsuspected results. Playing with recursive operations on the computer is the key to the revelation; reading the book spoils the story when the result is before you. Create your own monsters and beauties, and the insight comes free!

So Nat’ralists observe, a Flea Hath smaller Fleas that on him prey, And these have smaller fleas to bite ’em And so proceed ad infinitum.

Jonathan Swift

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© 1994 American Physiological Society

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Bassingthwaighte, J.B., Liebovitch, L.S., West, B.J. (1994). Generating Fractals. In: Fractal Physiology. Methods in Physiology Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7572-9_5

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  • DOI: https://doi.org/10.1007/978-1-4614-7572-9_5

  • Publisher Name: Springer, New York, NY

  • Online ISBN: 978-1-4614-7572-9

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