Day 10 of the April 2013 AtoZ Challenge…

J is for….
Julia set – named after French mathematician Gaston Julia, is one of two complementary sets defined from a function in the context of complex dynamics, a topic of mathematics. A relatively small difference in values can create chaotic changes in the nearby functionsΒ  in the sequence of iterated function systems. Whereas with the complementary Fatou set (named for Pierre Fatou, another French mathematician) changes in function values create similar and less variable results to the nearby function values, thus creating regular, orderly results from iterated function systems. (I really have no idea what that means, literally, but I interpret it to be the mathematical behaviour of the “regular” Fatou set and the “chaotic” Julia set.) In other words, the Julia set is a specific type of fractals, with certain mathematical properties. I dasten’t go any further, because I would get into complex numbers, real and imaginary and pretty much out of my understanding. Here is a link that may describe it better for you, if you have the math background.

the fractal for J is:JOYOUS



Joyous is in my book, Fractal Dreams, which is available exclusively at RedmundPro.

Check out all my art at the following galleries:

#fractals #AtoZChallenge #bloghop

Disclaimer: I am NOT a mathematician, so please forgive the uneducated tone of my definitions. I am an artist, so I try to explain the math of fractals to the best of my (limited)Β  ability.