A Journey in The Mandelbrot set [640x360]




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Published on Mar 28, 2010

The mathematician Benoît Mandelbrot was the first person to use a computer to visualize the behaviour of a dynamic system. In 1975 he introduced the word fractal (from the Latin fractus, broken) to denote objects with fractional dimension. His scientific research built the foundation of fractal geometry the link between classical mathematics and the chaos of atmospheric turbulence, biological populations and the stock market. Decades before fractals were named several mathematicians had studied them Weierstrass, Koch, Lévy, Cantor, Poincaré and Julia.

This film is based on the exhibition "Seduction" ( http://mandelbrot-set.elica.net/ ) and it blends computer generated images from the Mandelbrot set with digital photographs from the real life. The song used in the film is "Vitae Amandae" by Cathleen Trezza from Firewisp Music ( http://www.firewispmusic.com ). The digital photographs are contributed by Annette Olson, Daisuke Tomiyasu,Elfi Berndl,Jon Sullivan, John French, Nicholas Gere, and Simon Tong. Credits editing is done by Louise Blyton.

The flight over the fractal and the dive down in its abysm is generated by several specially designed programs that model NURBS-based trajectories. The programs are written in Logo ( http://elica.net/ and http://lhogho.sourceforge.net/ ) and Pascal. The original movie is HD720p, 1.5GB. The raw data for all 7500 frames is about 20GB. Production took about 2 months, while the pure rendering time for the hardest frame was 10 hours.

No software, hardware or mathematical formulae were harmed during the production of this film.

Depicted fractal locations are virtual but not fictitious. Any resemblance to other areas of the Mandelbrot set fractal is completely and mathematically justifiable.


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