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 ?
4) In the animation of a Mandelbrot set the programmed numbers increase or decrease and move outwards or inwards.
The papers from that conference include the indecomposable continua and Julia sets of rational maps, The Henon family, the complex horseshoe locus and real parameter space, Baby Mandelbrot sets, accumulation points of iterated function systems, Siegel disks with boundaries that have only two complementary domains, non-uniform porosity for a subset of some Julia sets, and a summary of open problems.
The Mandelbrot set is actually quite beautiful when you look at it.
A Java program generated the Mandelbrot set using parallel threads on a multiprocessor system in order to determine the performance benefits of concurrent execution of the threads.
The discovery was featured in the August 1985 issue of Scientific American and the Mandelbrot set became a famous fractal with popular appeal.
The Mandelbrot set serves as a prime example of how simple mathematical operations can yield astonishingly complex geometric forms.
It also has the capacity to meld with Mandelbrot set geometry allowing a comparison of dynamical systems such as the market and economic events that determine security values.
The Mandelbrot set is based on the quadratic equation f(z) = [z.
Part I is a whirl of scientific information, where the talk is of 'metathinking' and string theory, hypercycles and cytoskeletons, solitons and wave-packets, mimesis and Mandelbrot sets, and much else.
The chapter on Gilbert Sorrentino's Pack of Lies, Matthew's The Journalist, and Barth's The Last Voyage of Somebody the Sailor neatly aligns the proceduralism those works share with Mandelbrot sets and feedback loops.