Math 266 Supplements
Section 4: Newton's Method and the Julia Sets
Section 6: The Logistic Map, Period-Doubling To Chaos
Section 7: Julia Sets and the Madelbrot Set
Notes 10: Properties of Julia Sets and the Madelbrot Set
Supplemental Applets (Note: If you do not see the buttons below, then you need to download the Java JRE 1.4.2 or greater)
Aaron Davidson used a graphing engine to create a Quicktime movie that zooms into the mandelbrot set and really captures the beauty of it. Click here to view (~7 Mb). It's a big file but definitely worth the time!
Site best viewed with at least 800 x 600 screen resolution using at least IE6, Netscape 6.2 or Mozilla 1.7. You must also have the Java Runtime Environment (JRE) (and appropriate browser plug-in) version 1.4.2 or greater to view the applets.