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Author Topic: Higher order Mandelbrot zooms  (Read 492 times)
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Kalles Fraktaler
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« on: August 21, 2014, 05:55:42 PM »

I made a series of movies a while ago zooming in higher Mandelbrot powers.
These movies were rendered during the night, one night each, on my 4 year old 64-bit quad core laptop.
Thanks to knighty for making this possible!

Order 4:
<a href="http://www.youtube.com/v/NC--HYR49QY&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/NC--HYR49QY&rel=1&fs=1&hd=1</a>

Order 5:
<a href="http://www.youtube.com/v/fAXdh_vpGvQ&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/fAXdh_vpGvQ&rel=1&fs=1&hd=1</a>

Order 6:
<a href="http://www.youtube.com/v/x6Ie7uFje6I&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/x6Ie7uFje6I&rel=1&fs=1&hd=1</a>

Order 7:
<a href="http://www.youtube.com/v/CKw_ToO-ZdU&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/CKw_ToO-ZdU&rel=1&fs=1&hd=1</a>

Order 8:
<a href="http://www.youtube.com/v/i1KmHQmLHCs&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/i1KmHQmLHCs&rel=1&fs=1&hd=1</a>

Order 9:
<a href="http://www.youtube.com/v/FHB7phTOaUk&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/FHB7phTOaUk&rel=1&fs=1&hd=1</a>
Unfortunately I made a mistake with the color cycling so it get a little flickering in the middle...

Order 10:
<a href="http://www.youtube.com/v/O962MjP7OGs&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/O962MjP7OGs&rel=1&fs=1&hd=1</a>
Unfortunately I was testing automatic decrease of iterations when zooming out, so there are some black blobs in the middle. The end of the movie is correct though.

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cKleinhuis
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« Reply #1 on: August 21, 2014, 06:03:16 PM »

very nice, have you rendered them using pertubation theory ?! and it is available in kalles fraktaler ?!
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divide and conquer - iterate and rule - chaos is No random!
Kalles Fraktaler
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Posts: 1458



kallesfraktaler
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« Reply #2 on: August 21, 2014, 06:37:11 PM »

Yes perturbation, and with series approximation which formulas were developed by knighty (because my knowledge of derivations has faded away since it was not used for 20 years...)

All available in Kalles Fraktaler smiley
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Want to create DEEP Mandelbrot fractals 100 times faster than the commercial programs, for FREE? One hour or one minute? Three months or one day? Try Kalles Fraktaler http://www.chillheimer.de/kallesfraktaler
http://www.facebook.com/kallesfraktaler
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