dregs

These are some images generated by a program I wrote during the 2006-2007 academic year. Input eight real valued numbers, and you get an image like the ones that follow (no post-processing needed).

They are plots of a 2-D iterative function. Hue, Saturation, and Value correspond the (localized) Lyapunov exponents, distance between f(x_i) and x_i, and the number of times the point was visited, respectively.

See content from Scott Draves, Paul Bourke for more info.

I also have a presentation available as pdf, which pretty much explains the entire process.

Also check out an animation or two.

Well, I’ve always been pretty fascinated with chaotic attractors,and for my final project in my graphics class I decided to make the jump to 3d.

I had been getting my feet wet with Java for another project, using it to implement a interpreter for a tiny expression language. I was really impressed by type system- debugging was more of a compile-time than run-time affair. I was also able to install the Netbeans IDE and JOGL pack without too much trouble, and there were plenty of demos to copy code from.

Ultimately, I was pretty satisfied with the results. Of course, I really only needed support for the most basic OpenGL functionality. I would love to see how projects like SciDelek perform.

Anyway, I’ve posted the code in a single file here. It’s a realtime visualizer for any f(x):x,y,z->x,y,z. So much fun to watch these suckers in action!

Lorentz Trails

They go round and round, forever