Julia Ink Blots
by
A fractal made in JWildFire
In JWildFire, the application I use for fractals, you make pictures by combining two or more transformations. Each transformation consists of one or more mathematical formulas that apply some effect on the colors of the picture, creating shapes, patterns, transitions, etc; these formulas are called variations.
One of my favorite variations is Julia, which applies the properties of the JuliaSet to the fractal; even small differences in the variables that make up a Julia Set, can have great effects in the final result.
Here we have a fractal with three transformations, the third one is Julia. In this example, the relative weight of the Julia transformation is 1, against 12 & 10 of the other two. Thus, the effects of Julia are minimal:
When the relative strength of Julia increases, its properties become more clear: see the circles whose circumference is made up of other circles, whose circum. is made up of other circles, etc ad infinitum. Check out the details below to see this in ... detail!
Did you notice the colored triangles in the images above? These are one of the ways you can control how the transformations behave. You can move the triangle around, rotate it or scale it to have different effects. I said that even small changes in the Julia variables can produce great differences in the final result, so let's see this.
Here I simply moved and rotated the triangle (the green one) without changing any other parameters of the fractal and the result I got is this:
Moving it more and scaling it gave me this:
I think the changes are obvious. Isn't it the greatest fascination ever? Or I am a simple fractal nerd?
Details:
