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Welcome to Fractal Forums > Fractal Math, Chaos Theory & Research > Mandelbrot & Julia Set > Can someone explain Julia morphing?
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Author Topic: Can someone explain Julia morphing?  (Read 929 times)
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greentexas
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« on: January 12, 2017, 03:34:35 AM »
Can somebody explain Julia morphing? I've successfully morphed the same Julia twice or more, but I do not completely understand how to create various structures using Julia morphing. I do know that you do not zoom into the Mandelbrot, but rather the Julia.
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Adam Majewski
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« Reply #1 on: January 12, 2017, 03:44:41 PM »
http://mathr.co.uk/blog/2015-05-18_two_spirals_out.html

HTH

also :
https://en.wikibooks.org/wiki/Fractals/Iterations_in_the_complex_plane/sculpt
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Dinkydau
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« Reply #2 on: January 13, 2017, 02:52:46 AM »
I just happen to have written a journal on deviantart about how my evolution zoom method works:
http://dinkydauset.deviantart.com/journal/Newton-Raphson-zooming-and-Evolution-zoom-method-657051421

If you don't do step 1 (as mentioned in the journal) it's basically the same as what's described on http://mathr.co.uk/, where Adam Majewski linked to.
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Kalles Fraktaler
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« Reply #3 on: January 14, 2017, 06:52:05 PM »
Quote from: Dinkydau on January 13, 2017, 02:52:46 AM
I just happen to have written a journal on deviantart about how my evolution zoom method works:
http://dinkydauset.deviantart.com/journal/Newton-Raphson-zooming-and-Evolution-zoom-method-657051421

If you don't do step 1 (as mentioned in the journal) it's basically the same as what's described on http://mathr.co.uk/, where Adam Majewski linked to.
Lovely to have you back in fractals! smiley
I read your journal and it is an excellent explanation of the N-R method and its implications.

I've tried to form a shape by zooming in close but outside of it, which deforms it in a predictable way.
I made some animals. But it is kind of hard
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SamTiba
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« Reply #4 on: January 15, 2017, 12:04:37 AM »
to be honest, for someone new your termonology is really confusing
I understand your journal, but what has i got to do with Julia morphing? isn't it about Mandelbrot-shapes?
And what exactly are you morphing there?
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youhn
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« Reply #5 on: January 15, 2017, 02:44:04 AM »
You might need to dive into the mandelbrot set some more, not only the shape and formulas, but also the discussion around it. Perhaps this is a good lead:

http://www.fractalforums.com/fractal-related-links/inner-workings-of-the-mandelbrot-set-1/
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SamTiba
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« Reply #6 on: January 15, 2017, 12:56:00 PM »
thank you very much for sharing that smiley
really helped me understanding more
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jwm-art
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« Reply #7 on: January 23, 2017, 12:09:18 AM »
Impressed with your zooms Dinkydau, inspiring.

I've had a break from it for a while but have just dipped my toes into it again.

I was lead to the idea from the description on muency/mrob.com, http://mrob.com/pub/muency/leavittjonathan.html
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