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

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Uploaded by on Jan 26, 2010

Music is "Research Lab" by Dark Flow ( http://www.myspace.com/darkflowelectronica )

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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Uploader Comments (nosro1)

  • Are you using a customized number representation to get higher accuracy? Most of my graphics are limited by the error of floating point arithmatic.

  • @joshig1983 Several programs implement "arbitrary precision". Ultra Fractal and Fractal Xtreme are two good ones.

  • @nosro1 Thanks for that tip. Did the frames in the higher zoom a lot slower to generate or did you set a very high precision and have it roughly be as quick for the first minute of the video as the last?

  • @joshig1983 The frames are MUCH slower to generate as the zoom gets deeper as the math transitions to extended precision and then to arbitrary precision.

  • I just wrote my first Mandelbrot Set Visualizer. I'm curious as to how you chose the to map the escape velocities of the points in the complement to the Mandelbrot Set to the various colors?

  • @Fleischmanz The color is just a function of the iteration number at escape. Certainly there are other more visually dramatic formulas, but I find the Mandelbrot plenty dramatic by itself!

Top Comments

  • voila... now im a epeleptic too

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All Comments (700)

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  • Are there goggles that I can buy to hook up to my laptop that would enable me to see this and only this?

  • So wait, what's stopping you from zooming in any closer? I saw at the end of the video, it would zoom into infinite darkness, but why not zoom in on the part that continues the colors?

  • Math is beautiful

  • My head hurts.

  • WE NEED TO GO DEEPER

  • You cannot grasp the true form of Mandelbrot' attack!

  • watched this full screen in a pitch black room high as a mother fucking kite...all i can say now is im lost in another dimension...cheers

  • so cool.

  • W imieniu polskiego imperium wzywam do przejęcia tego video !!

    Amazing beautiful !!

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