LYCOS RETRIEVER 
Mandelbrot Set: Amazing Mandelbrot Set
built 254 days ago
The Amazing Mandelbrot Set is a DVD video collection of 24 animated zooms into the most complex object in the realm of mathematics. Each zoom takes you on a stunning visual odyssey of infinite fractal geometry, revealing increasingly exotic fractal patterns to a final magnification of X100,000,000,000,000,000 (1017).
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The amazing thing about the Mandelbrot Set is that the boundary between numbers that are members and numbers that are not members is a fractal. No matter how far you zoom in on the boundary, you'll always see more complex wiggles, as shown in the sequence below.
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Since its discovery a quarter of a century ago, the Mandelbrot Set has become a universal icon for the doctrine of chaos--the emerging scientific idea that simple processes can result in infinite complexity. This abstract principle comes to life in the fractal deep zooms of The Amazing Mandelbrot Set--24 separate visions of the incomprehensible patterns that arise when a simple function is mapped onto the complex plane in vivid color. Each of 24 zooms explores a different region of the set's boundary, each with its own unique color palette.
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[N]one of the miniature Mandelbrots are exact copies of the parent set and none of them are exactly alike. Near the parent set there are even more miniature Mandelbrots, apparently suspended freely in the complex plane. The appearance is deceiving. An amazing theorem proved by Hubbard and a colleague, Adrian Douady of the University of Paris, states that the Mandelbrot set is connected. Hence even the miniature Mandelbrots that seem to be suspended in the plane are attached by filaments to the parent set. The miniatures are found almost everywhere near the parent set and they come in all sizes.
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Amazing Mandelbrot Set