Art

 

Organic Art–The Evolution of Form

Organic Art

“William Latham is a British computer artist, most known as the creator of … Organic Art…Latham has authored a book called Evolutionary Art and Computers together with Stephen Todd, published 1992, based on their work at the IBM(UK) Scientific Centre in Winchester, generating 3-d computer models or organic life forms, using genetic algorithm based techniques to mutate base forms into artistic creations”. — Wikipedia

Fractal

Fractal Zoom,
Mandelbrot set

The Mandelbrot set is described as “a mathematical set of points in the complex plane, the boundary of which forms a fractal…The Mandelbrot set is the set of complex values of…a complex number, c” (—Wikipedia)…The Mandelbrot Set…[is] the set of complex numbers that, when run through a iterative function over and over, never grow above a certain value. If you subject some complex number to this treatment, and [it] keeps getting bigger, that number is not in the Mandelbrot Set. If the number remains forever small, then it is in the Set (– Beej’s Bit Bucket The Mandelbrot Set)…[Wikipedia adds] “When computed and graphed on the complex plane the Mandelbrot set is seen to have an elaborate boundary which, being a fractal, does not simplify at any given magnification…The Mandelbrot set shows more intricate detail the closer one looks or magnifies the image, usually called “zooming in”…[a common] example of an image sequence zooming [expressed as an “e” value] to a selected c value gives an impression of the infinite richness of different geometrical structures…[a characteristic example of a] magnification of the last image relative to the first one is about 10,000,000,000 to 1. Relating to an ordinary monitor, it represents a section of a Mandelbrot set with a diameter of 4 million kilometres. Its border would show an astronomical number of different fractal structures…Regardless of the extent to which one zooms in on the boundary of a Mandelbrot set, there is always additional detail to see. During [a typical] 45 second zoom…the set becomes magnified more than 10 000 billion billion billion (3.18 x 10^31 [thirty-first power] ) fold.

The fractal zoom video above is from Jason Kottke’s weblog page “Insanely deep fractal zoom“, about which Jason writes, “the thing that I really used to love doing with this fractal application that I had on my computer was zooming in to different parts of the familiar Mandelbrot set as far as I could. I never got very far…between 5 or 6 zooms in, my Packard Bell 486/66 (running Windows 3.11) would buckle under the computational pressure and hang. Therefore, I absolutely love this extremely deep HD zoom into the Mandelbrot set…The final magnification is e.214. Want some perspective? a magnification of e.12 would increase the size of a particle to the same as the earth’s orbit! e.21 would make a particle look the same size as the milky way and e.42 would be equal to the universe. This zoom smashes all of them all away. If you were “actually” traveling into the fractal your speed would be faster than the speed of light. After awhile, the self-similarity of the thing is almost too much to bear; I think I went into a coma around 5:00 but snapped to in time for the exciting (but not unexpected) conclusion. Full-screen [with the video player HD control on] in a dark room is recommended.”  Hot smile

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