Category: Maths
Author: Ben
Last Update: 01/06/01
Platform: Any JVM implementation
Language: Java
Download Size: 3Kb

This program is designed to graph Julia Sets, the sets of all complex numbers that do not tend towards infinity under the iteration Zn+1=Zn2+c, where c is a constant. This program plots these numbers on an argand diagram, the x co-ordinate representing the real part of the number and the y co-ordinate representing the imaginary part. These sets of complex numbers were named after french mathematician Gaston Julia. The following are some values of c that are known to give interesting results: -0.39054 -0.58679j -0.745 +0.113j 0.27334 +0.00742j -0.11 +0.6557j 0.3631 -0.125j -0.068 -0.667j

I recommend entering numbers of your own, most will just form a big blob, but by altering the numbers slightly and looking at whether the image has become more or less detailed it is possible to discover some interesting sets. I found the last two sets on the above list in about 10 minutes using this method.

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