Barnsley's Tree

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This Demonstration plots a fractal of the Julia type (the simplest linear case), choosing a maximum number of iterations and using an escape radius of 2. This fractal is obtained by iterating the function starting at the point ; is the sign function and is the real part of .

Contributed by: Enrique Zeleny (August 2014)
Open content licensed under CC BY-NC-SA




[1] M. Barnsley, Fractals Everywhere, 2nd ed., Boston, MA: Academic Press, 1993.

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