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
Snapshots
Details
Reference
[1] M. Barnsley, Fractals Everywhere, 2nd ed., Boston, MA: Academic Press, 1993.
Permanent Citation
"Barnsley's Tree"
http://demonstrations.wolfram.com/BarnsleysTree/
Wolfram Demonstrations Project
Published: August 4 2014