How Do I Use This Activity?

This activity allows the user to investigate the Julia sets associated with functions

for any complex number C=(a,b) in the circle of radius 2.

This Java applet requires a Java-capable browser. If you don't see the applet Java may not be functional in your browser or on your machine.

Controls and Output

• The rectangular area at the top of the screen is where the Julia Set is drawn. Black points are prisoners; colored points are escapees (color differences indicate how quickly they escape from the circle of radius 2).

• The Constant= textbox at the bottom is for the value of C for which you are interested in viewing the Julia set. Enter your point as two decimal numbers. The points of interest should be inside the circle of radius 2.
  

• Press the Draw button when you are ready to draw a new Julia set.