In the window at the right you should see the button for the mandelbrot set generator. If you have no window at the right, you're working in a browser that doesn't support frames, and will have to print out these directions and then go to: Mandelbrot.

This program allows you to zoom in on parts of the Mandelbrot set to look for self similarity and also to investigate Julia sets. (Remember that Julia sets are the boundaries of prisoner sets for complex function iterations.) I want you to do two things:

1. Find an interesting piece of the Mandelbrot set by zooming. To zoom, click on a point in the picture and the computer will zoom in making where you clicked the center of the new image. You can zoom in (the startup setting is zoom in 2x) and also zoom back out by changing the magnification the pop-up. You can also look at other Mandelbrot sets by picking another function out of the Formula pop-up. The original setting is for the one we looked at in class -- the function is: f(z) = z² + c. DonŐt forget to click once on the picture to activate the change. Print your favorite zoom shot.
2. Find an interesting Julia set by selecting the 'Show me the Julia set' option button and then clicking once on the picture to choose a 'c' value. We said in class that the black portion of the Mandelbrot set was where the Julia sets were connected, i.e., one piece, and that the other points would have disconnected Julia sets. Try a few points to check this. Does your investigation support this? Print your favorite Julia set.