Deepest Mandelbrot Set Zoom Animation ever - a New Record! 10^275 (2.1E275 or 2^915)

Music is "Research Lab" by Dark Flow ( http://itunes.apple.com/us/album/subu... , 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.

• Category

  Science & Technology

[TheDeadSource]

Did you find any formations you didn't expect by rendering this far inwards?

[nosro1]

Not sure how to answer that. Every area of the Mandelbrot is different. Ergo, every zoom is different. Sometimes the differences are subtle. (See my other video on Seahorse valley, which shows how a basic shape evolves while panning one particular location.) That's the fun in exploring the Mandelbrot.

[Chinesevituperation]

fuck i am tripping balls watching this

[ShadowCjreek]

What's your definition of "existence"? It's "just" a visualization of a mathematical set of (complex) numbers.

[politicaltruth42]

1:15 1:52 2:11 2:21 2:25 2:28 2:29 3:06 3:26 3:35 3:40 3:42 3:43 3:44 4:02 4:12 4:17 4:19 4:20 4:21 4:22 4:31 4:35 4:38 4:39 4:40 4:45 4:47 4:48 4:49 4:50 4:52 4:53 4:54 4:55 5:00 so this is what infinity looks like.....wow intense!!!

[qwertasd7]

wow makes me wonder if physics would have a fractal nature, we would never find the smallest particles but forever the math behind it would devide (zoom in)..

And if at some point all forces would be unificated as one force, the subdivision of that must have been as twisted as like your movie.. that's dazzling

[cacahahacaca]

Holy fuck wow!!! Thanks so much, really amazong. Would love it at even more at high res ;)

[Morgoth Bauglir]

And by harnessing this power we shall control time. That or create the best acid trips in the universe.

[Dhiego Magalhães]

Did you use a supercomputer?

[Liviu Chircu]

10^275 is a formidable result! How do you even store such small floating point values? Not to mention the computational power required! (the quality seems to be very good, which means the arrays of complex numbers tested for each frame of the animation are pretty big) This must surely take entire weeks to compute, even on a supercomputer!

[masonery123]

Yeah. I'm gonna like it.

I'm in geometry, I have an algebra II textbook I'm studying at home, I'm getting extra trig work at school, I'm studying pre-calc with khanacademy, and I'm reading "calculus made easy" by Silvanus P. Thompson (best book ever) all simultaneously, so I've got most of the bases covered. Stats, anyone? I think I'm going to like college math too. I suppose my first comment didn't really reveal my background, despite it revealing my age. And I still have time for the net.

[James Slaughter]

Right! Very well done, I think you're going to like college math.

If it is in the set, the pixel is black in the video. I think that the color is related to how long it takes the computer to determine that that point would make an unbounded sequence, but I don't know how this was programmed.