This graph shows correspondence between the Mandelbrot set and the logistic map, which explains how complex, chaotic behavior can arise from simple non-linear dynamical equations.
yeah. I plotted that out on a napkin just last week. it really wasn't too hard. all you have to do....
You just have to use a REALLY fine-tipped pen or mechanical pencil.
I just use Xaos, the Open Source fractal generator application. Now that I've used it a while I can do my own, but really, I don't have a lot of use for them other than entertainment so I normally use the base formulae provided to start. It's got a good assortment. I've been thinking about building one based on the idea of Tux, the Linux mascot's feathers.
Edit: Sorry, building an image of Tux, the Linux mascot; from the viewpoint of his individual feathers. Yeah, that's what I say I meant.
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