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 functions 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:
RedBubble
DeviantArt#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) ability.


Buddha Kat,
Le Clown likes joyous. And green, and yellow.
Le Clown
I am happy LeClown does like joy, green and yellow… hopefully LeEric does, as well… 😉
GREAT to see you!!
Kat,
Nah, that Eric dude has no taste.
Le Clown
LOL! I thought you two were going to try to get along? I guess you can’t buck the truth, eh!?!?!?
The beautiful colors make me feel joy…like spring does!
Shannon at I Survived and Now I Run
When I originally made this, it had a definite Easter feel to it, hence the feelings of joyousness…
Oh sure, the link explains this just fine, especially i and ^. Hee hee.
This made me smile. Love these two colours together.
Oh Tess… you are so funny… LOL!
Glad you like this – I would not normally use these 2 colors together, but this worked out well!
Thanks for the info ( although it takes a couple of reading for nonmath me to get a toehold on what it’s saying…fractals are so cool)
This one really jiggles and moves…there all these little faces in there…and at least on frog looking at you.
So you can understand how difficult it is for nonmath me to put into words something I barely understand!
thankees!
Very joy inducing Could also be blue tropical fish swimming around, but then I’m weird!!😉
I’m glad it joyed you up!! I think I sensed the aquarium perspective, sort of… good eye…
Honestly, I had no idea there was so much involved in fractals. Dare I admit, I just like looking at them.
Thanks for checking out my AtoZ.
Rhonda @LaughQuotes.com
AtoZ #41
Rhonda, please DO admit it!!! I too hardly understand all the math going on behind the scenes, but I sure like exploring them and making art out of them! Thanks!
Love this pic! I don’t understand why you’re not showing up in my inbox. Congrats on the great job on the A to Z Challenge.
Oh no… are you on WP? I haven’t turned anything off, that I’m aware of, so maybe you could try to follow again? I’m happy to have you, for sure!!!
And glad you like my art, too!!
Off now to follow you and catch up on your #atozchallenge…
Love the fractal, and enjoyed teh explanation you led into it with!
Why thank you – at least I didn’t bore you !!! It was hard for me to say it in words I could understand!