Mandelbrot set definition mathematics, graphics
(After its discoverer, Benoit Mandelbrot
) The set of all complex numbers
c such that
| z[N] | for arbitrarily large values of N, where
z = 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] | 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 (http://ncsa.uiuc.edu/Edu/Fractal/Fractal_Home.html/).