(any) Applications of Mandelbrot sets? Proof of fractal?


by Tacos
Tags: applications, fractal, mandelbrot, proof, sets
Tacos
Tacos is offline
#1
Mar12-09, 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!
Phys.Org News Partner Science news on Phys.org
Internet co-creator Cerf debunks 'myth' that US runs it
Astronomical forensics uncover planetary disks in Hubble archive
Solar-powered two-seat Sunseeker airplane has progress report

Register to reply

Related Discussions
proof about operations on sets Calculus & Beyond Homework 2
Proof of CLopen sets Calculus & Beyond Homework 2
More proof on sets help Set Theory, Logic, Probability, Statistics 2
proof of countable sets Set Theory, Logic, Probability, Statistics 7