zondag 6 oktober 2013

Fractals - The Colors Of Infinity


Arthur C. Clarke presents this unusual documentary on the mathematical discovery of the Mandelbrot Set (M-Set) in the visually spectacular world of fractal geometry. This show relates the science of the M-Set to nature in a way that seems to identify the hand of God in the design of the universe itself. Dr. Mandelbrot in 1980 discovered the infinitely complex geometrical shape called the Mandelbrot Set using a very simple equation with computers and graphics.

Arthur C. Clarke's soft-spoken style sets the "common man" at ease, and his pinpoint commentary makes the concept of fractals easy to understand. One need not be a stellar mathematician to grasp the concepts and why they are profound. The experts are trotted out, and they, too, explain fractal geometry in ways that are accessible to everyman.

Fractals are part of our lives, and maths informs everything that exists, whether natural or man-made.

When I saw this on TV several years ago, it reminded me of the Douglas Adams (of "Hitchhiker's Guide" fame) book "Dirk Gently's Holistic Detective Agency." In the novel, a software engineer tries to create a program that sets the flapping of a bird's wings to music using mathematical equations. That is exactly what fractals seem to do; they describe events in nature in mathematical ways, and the section of "Colors" which discusses this is eye-opening.




Mandelbrot Set Zoom Animation

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.
Music is "Research Lab" by Dark Flow



Read more details and download the full-resolution video at http://fractaljourney.blogspot.com

 

 

The Splendor of Color Kaleidoscope Video v1.2 1080p


The Splendor of Color Kaleidoscope Video v1.1 1080p


  
If you're interested in watching this on your living room big screen, it is available for free download on http://hdcolors.com, or if you insist on the physical media, on Blu-ray and DVD from http://kaleidoscopestore.com

The Syntax Of Psychedelic Time - fractals

Terence McKenna, speaking in Berkeley, California in July of 1983.

Terence McKenna talks about the I Ching, his Timewave Zero hypothesis, and other esoteric concepts in what he calls a "think-along lecture"

"I think that the old evolutionary model, which was that evolution was the struggle of the fittest, and the devil take the hindmost, is pretty much discredited. And we now understand that what is maximized in evolution is not the sharpness of the fang or the length of the claw, but the ability to cooperate with other species, harmoniously. That's what's being maximized. ... Humans are a perverse lot, and I suppose what one can reasonably hope for is incremental advances toward the good."



 


 

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