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Whilst looking over some of my old coursework from my university studies (1995), I came across some interesting stuff for calculating the fractal dimension of the Henon attractor. I thought it could be interesting to have a bit of a search for related thingies on the web, and came across one site where it animates the number of iterations it takes for points to escape the attractor. A bit of a nerd site:

http://home.mem.net/~dudenose/java/henon.html