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Music is "Research Lab" by Dark Flow ( http://itunes.apple.com/us/album/suburban-films/id305508932 , http://amzn.com/B001U9YCG8 )
Read more geeky details and download the full-resolution video at http://fractaljourney.blogspot.com
Details: The final magnification is 2.1x10^275 (or 2^915). I believe that this is the deepest zoom animation of the Mandelbrot set produced to date (January 2010).
Each frame was individually rendered at 640x480 resolution and strung together at 30 frames per second. No frame interpolation was used. All images were lovingly rendered by 12 CPU cores running 24/7 for 6 months.
Self-similarity (mini-brots) can be seen at 1:16, 2:30, and at the end 5:00.
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These videos are one of my favorites: