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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.

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