Extra Example 3.  Plot the Mandelbrot set.

Explore Extra Solution 3.

This modification of the  juliaC  code can be used to plot the Mandelbrot set.

Here is the subroutine from the Mathematica  Journal.

This is a fuzzy picture of Color Plate 6.  Increase the number of PlotPoints to get a sharper picture.  Also, it will increase the computing time.  It takes quite a bit of time with  .  Things start to look better with  .  

(c) 2006 John H. Mathews, Russell W. Howell