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Author Topic:  how to interpret this fractal image?  (Read 298 times)

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Offline v

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how to interpret this fractal image?
« on: January 03, 2020, 04:43:25 AM »
I have generated this image and it seems there are several minibrots, some deformed, which would show up under different zooms on the original mset.  Why are they all here and at the same zoom level? What does it say about your formula if there are minibrots? Also, what explains the strange decoration around them that is not similar to anything in the original mset? What should i look for and understand when trying different variants or formulas?



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Offline claude

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Re: how to interpret this fractal image?
« Reply #1 on: January 03, 2020, 09:42:35 AM »
What does it say about your formula if there are minibrots?

I think it means that there is a periodic cycle at each minibrot where the dynamics over one cycle are locally like z->z^2+c.  It's not unusual because the Mandelbrot set is "universal".


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