Mandelbrot Set: Difference between revisions

The Mandelbrot Set, Named after Benoit B. Mandelbrot, a pioneer in the field of fractal geometry, and the first person known to have drawn the set. The Mandelbrot Set has an iterative definition on the complex plane. For any point c = a + ib on the complex plane, the following iteration may be performed (with z initialised to 0):

   zn+1 = zn2 + c

Membership of a point is then determined by the following rule:

   If the limit of the magnitude of z is bounded, as n tends to infinity, then the point lies within the set.

A related collection of fractals, known as Julia sets, uses the same governing equation, but the constant is kept fixed for all points in the plane, and the initial value of z changes.

needs to be merged with Mandelbrot set