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Mandelbrot set

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Mandelbrot set [¦män·dəl‚bröt ‚set]
(mathematics)
The set of complex numbers,c, for which the sequences0,s1, … is bounded, wheres0=0, andsn+1=sn2+c.
(mathematics, graphics)Mandelbrot set - (After its discoverer, Benoit Mandelbrot) The set of all complex numbers c such that

| z[N] | < 2

for arbitrarily large values of N, where

z[0] = 0 z[n+1] = z[n]^2 + c

The Mandelbrot set is usually displayed as an Argand diagram, giving each point a colour which depends on the largest N for which | z[N] | < 2, up to some maximum N which is used for the points in the set (for which N is infinite). These points are traditionally coloured black.

The Mandelbrot set is the best known example of a fractal - it includes smaller versions of itself which can be explored to arbitrary levels of detail.

The Fractal Microscope.


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McMullen, 40, investigated the Mandelbrot set (SN: 11/23/91, p.
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Synergy" means this: Disney now owns ABC and ABC owns a number of major publishing companies and the Washington Post and the Post corporation runs Newsweek, but is itself - somewhere up or down the line - linked with bigger publishing trusts and fast-food empires, and so on into the Mandelbrot Set of infinitely finer-tuned self-recapitulations.
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The Washington hierarchy is, in fact, less like a pyramid than a Mandelbrot set, whose large-scale design is replicated within every component part, and then repeated again inside the pieces of every part.
Unlocking the cabinet: Robert Reich provides an inside look at life ... by Reich, Robert R. / Washington Monthly
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