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Mandelbrot Maps
My MSc student, Iain Parris, has put together a brilliant web-based app for viewing Mandelbrot and Julia curves in real time. It lets you move about a point on the Mandelbrot set, and displays the corresponding Julia curve in real-time. There are other apps that perform similarly, but this is the only one I've seen that provides real-time response. Try it out!
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Other than, say, the spawn of mad genius xaos (xaos.sf.net). But that isn't web based (and for a very good reason; the source is littered with inline assembly and other low level hacks).
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