Extra Example 2.  Plot the Julia set.

Explore Extra Solution 2.

Here is the subroutine from the Mathematica  Journal.

Here is the Julia set generated by the value  c = -1.25.  This is a fuzzy picture of Color Plate 4.  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