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(any) Applications of Mandelbrot sets? Proof of fractal? 
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#1
Mar1209, 11:52 PM

P: 3

Hi,
What exactly is the importance of the Mandelbrot set in general? From what I've read, it seems more of a mathematical play thing than anything else.. there must be more to it than the disturbing pictures, no? Also, is there an easily understandable proof anywhere showing that the boundary of a Mandelbrot set is a fractal? I know Shishikura proved it in the 90s, but I haven't been able to find his proof, nor do I believe I would have the ability to decipher it without an intermediary source breaking it down a bit. Maybe even just an explanation of his process? Thanks for any assistance! 


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