October 16, 2010

Benoît Mandelbrot (November 20, 1924 - October 16, 2010)

Thanks to Geri Sullivan and the internet, I can claim to be two degrees of separation from Dr. Mandelbrot. For me, it is an honor just to claim such a superficial relationship to greatness.



March 10, 2010

Mandelbrot Assemblage



Description
"Mandelbrot Assemblage" is based on the idea in Mandelbrot Birth and Evolution whereby the exponent "n" in the equation z^n+c is manipulated as the principal variable in the animation. However, for this animation, the exponent "n" is decreased from 40 to 2. Furthermore, rather than showing the entire set, the animation zooms in on Seahorse Valley and tracks its evolution as the exponent is reduced to 2. Note that the location is not fixed in this case since the location of Seahorse Valley moves as the exponent is changed.

Music
"Escape" (edited for length) by Dark Flow.

Technical information
Each frame was rendered in luxurious 1920x1080 resolution, strung together at 30 frames per second, and encoded at 16Mbps, making this a Full HD animation worthy of your 1080p flatscreen.

Downloads
Download 1080p MP4 (Highest Quality, 1920x1080 - 253MB)
Download WMV (Medium Quality, 1280x720 - 116MB)

January 26, 2010

Mandelbrot Ultra Zoom #5: 2.1E275



Description
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.

Music
"Research Lab" by Dark Flow.

Coordinates
Mandelbrot
Final zoom location:
real=-1.7400623825
7933990522
0844167065
8256382966
4172043617
1866879862
4184611829
1964415305
6054840718
3394832257
4345000825
9172138785
4929836778
9336650341
7299549623
7388383033
4646546129
0768441055
4861368707
1985055926
9507357211
7902436669
4013479375
3068611574
7459438207
1288525822
2629105433
6486959460
03865

img=0.0281753397
7921104899
2411521144
3195096875
3907674299
0608570401
3095958801
7432409201
8638540081
4658560553
6156950844
8677407700
0669037710
1916653380
6041899932
4320867147
0287689837
0483131652
7873719459
2645920846
0043315033
3362859318
1020170329
5807479996
6721030307
0821501719
9479847808
9798638258
639934

magn=2.0667172E275
max iterations=10,000,000

Download WMV (640x480 medium quality - 86MB)
Download MP4 (640x480 medium quality - 234MB)
Download WMV (640x480 full quality - 539MB)