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 ?
If the entire Mandelbrot set were placed on an ordinary sheet of paper, the tiny sections of boundary we examine would not fill the width of a hydrogen atom.
The Mandelbrot set is just a set of points in this complex number plane.
The set of all the black points is the Mandelbrot set, as shown below.
In the intricate multi-coloured images of the Mandelbrot set that we usually see, instead of just colouring points white, they are coloured according to how quickly the sequences they generate diverge to infinity.
At various positions, the boundary even twists itself into fuzzy, miniature copies of the full Mandelbrot set.
Often depicted in psychedelic splendor on posters, book covers, T-shirts and calendars, the Mandelbrot set is also the object of serious mathematical research for those exploring dynamical systems.
The Mandelbrot set consists of all choices of c that stay bounded.
It also replaces the rather 1960s-ish gestalt cubes cover art of the first two editions with a fractal representation of swirly Mandelbrot sets.