#
*Java Number Cruncher*

Program 16-4

## Mandelbrot Set Fractal Image

This applet creates fractal images by plotting the Mandelbrot set derived
from iterating complex functions of the form *z*^2 + *c*,
varying *c* over the complex plane and then computing the
orbit values for *z* = 0 + 0*i*. For each complex point
*c* that is not in the set, the "escape velocity" of
the orbit is represented by a shade of gray -- the more iterations, the
darker the shade. For each point *c* that is in the set,
its color is determined by the modulus of the final computed orbit value.

## To run the demo:

- The initial fractal image is automatically generated.
- Because the fractal image is recursive, you can use the mouse to drag a rectangle around an area that you want to zoom into.