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Ways of Seeing Julia Sets

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Ted Burke

on 12 February 2016

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Transcript of Ways of Seeing Julia Sets

Ways of Seeing Julia Sets
Visualizing the forces that shape fractal Julia sets
Ted Burke
Image of Gaston Julia by Konrad Jacobs, Erlangen (http://owpdb.mfo.de/detail?photo_id=1680) [CC BY-SA 2.0 de (http://creativecommons.org/licenses/by-sa/2.0/de/deed.en)], via Wikimedia Commons
Gaston Julia
Pierre Fatou
(1878-1929)
(1893-1978)
Benoit Mandelbrot
The orbit of 0 is...
If the orbit of 0 is bounded, c is in the Mandelbrot set.
I spent some time experimenting with
functions of the form...

I retreated to looking at Julia sets...
...but now we fix c and look at the orbits of different starting z values.
Again we have...
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