Bifurcation diagram of the logistic map

In my ongoing search for interesting images to generate, I decided to explore the strange behavior of the bifurcation diagram for the Logistic Map. Drawing of the diagram itself was done fairly quickly, the hard part was my desire to be able to zoom in and out in a userfriendly way.

Every image that’s drawn is stored, both the image-data and the progess (if you happen to zoom while the current image is still being created). The current job will be halted, and resumed if necessary if you happen go back to it. Took me a lot of time, but I’m quite satisfied with the way it worked out. Play around with it, or just enjoy some of the screenshots below.

[SWF]http://www.petervandernoord.nl/swf/bifurcation/bifurcation.swf, 640,600[/SWF]







That last one was zoomed in until the precision of the Flash Number-class ran out of precision :)

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