2D Trigonometric Attractor Visualization

July 13th, 2008

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.

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