Mandelbrot set


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Related to Mandelbrot set: Julia set, Fractals

Mandelbrot set

A series of two equations that contain real and imaginary components which, when iterated and plotted on a 2-D graph, depict a highly complex classic fractal pattern. Mandelbrot sets and fractal patterns have been found in branching blood vessels, bronchi and bronchioles, in the heart rate, and in DNA.
References in periodicals archive ?
In this case the sequential time for computing the Mandelbrot Set was around 478 seconds.
As if placed at the centre of the Mandelbrot set, the inhabitant of Gormenghast, the victim of the Trystero system, the messenger in the Imperial Palace of Kafka's parable, the scientist in the force-field tube vainly strive to reach the end of a seemingly finite construct, only to find that in some obscure but perfectly predictable way the structure is endless or grows before them into unsuspected complexities, detours, obstacles--thresholds.
G.O.D, the 'Generator of Diversity', in the sense used by Churchman (1979, 1982) can be described using the Mandelbrot set. It is an iteration, generating many and diverse irregular shapes, but guided by geometry of basic co-ordinates.
Related by their move toward chaotics, those ideas and practices typically stress order either as immanent within apparent chaos (as in the Mandelbrot set) or as emerging from turbulence (as in Prigogine's investigations).
The discovery of the Mandelbrot Set, those intricate swirling images produced on a computer by generating a self-repeating equation, demonstrates graphically how Nature appears to create the symmetrical shapes of leaves and trees and sunflowers.
The examples are also wonderfully innovative and playful, for example, making the connection between [Pi] and the Mandelbrot set, building And-Or-Not gates out of Life glider guns, using cake slicing to define game theory, or drawing a parallel between the pagan festivals coopted by Christian religions and memetic crossover in evolution.
The story of the Mandelbrot set. This beautiful and engaging PBS special explores fractals, how they were discovered, and how they are created.
McMullen, 40, investigated the Mandelbrot set (SN: 11/23/91, p.
(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.) The Labor Department's own arrogant center is located on the second floor, arrayed around my office.
Benoit Mandelbrot, whose "Mandelbrot set," infinitely iterated images of the order lurking within nature's seeming disorder, you have seen depicted in a million articles about, chaos.