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From The Outer Space - Fractal Visual TRANCE - mandelbox , mandelbulb, m...
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... through the stars to space ... (Visual Music) - YouTube version..
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Math and music generated experimental video; screened at film festivals:
Hamilton film Festival:
Sandpoint Films Festival 2011
Short description of the video:
" .. Approaching to a mysterious planet, we saw the lightning hit the surface and suddenly everything went black, and only an alien volcanic lava illuminates our path. And he brought this way to the infinite whirlpools. It seems this will not end, but a mysterious object and the hand gave us a new way. Leaving this planet, we found a space with an incredible life-form: it was either a dance or a song of this creature, or warning, but then it turned into a huge surface of the underwater landscape !!! Great was our surprise when suddenly appeared in front of us an luminous castle and then rain came down on us, forced us to hurry up and find shelter among strange buildings. And when the storm passed us, we were to meet an alien popped up, which opened the way for us to lead the flower of striking beauty.... "
Video Production: ArkGrb - Studio A.G.B
Music style: Trance and Classic composition
3D Fractal Visual Music
Tools: Musical Mandelbulber and ISO Bulb, After Effects
Shapes: mandelbox , mandelbulb , ISO mandelbulb , mandelbrot surface
For downloading Mandelbrot 3D routine in Matlab:
The Mandelbrot set is a particular mathematical set of points, whose boundary generates a distinctive and easily recognisable two-dimensional fractal shape. The set is closely related to the Julia set (which generates similarly complex shapes), and is named after the mathematician Benoît Mandelbrot, who studied and popularized it.
More technically, the Mandelbrot set is the set of values of c in the complex plane for which the orbit of 0 under iteration of the complex quadratic polynomial zn+1 = zn2 + c remains bounded. That is, a complex number, c, is part of the Mandelbrot set if, when starting with z0 = 0 and applying the iteration repeatedly, the absolute value of zn remains bounded however large n gets.
Images of the Mandelbrot set display an elaborate boundary that reveals progressively ever-finer recursive detail at increasing magnifications. The "style" of this repeating detail depends on the region of the set being examined. The set's boundary also incorporates smaller versions of the main shape, so the fractal property of self-similarity applies to the entire set, and not just to its parts.
The Mandelbrot set has become popular outside mathematics both for its aesthetic appeal and as an example of a complex structure arising from the application of simple rules, and is one of the best-known examples of mathematical visualization.
The mandelbox is a fractal with a boxlike shape . It is defined in a similar way to the famous Mandelbrot set as the values of a parameter such that the origin does not escape to infinity under iteration of certain geometrical transformations. However, unlike the Mandelbrot set, the mandelbox is defined a map of continuous Julia sets, and thus can be defined in any number of dimensions. As a result, it is an example of a multifractal system. It is typically drawn in three dimensions for illustrative purposes.
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