Monday, December 13, 2010

On fractals and statistics

Just what's on my mind today:
What is the connection between the Mandelbrot set and the bell shaped normal distribution curve, or any distribution for that matter?

This is something I have been thinking about for sometime. I am surprised that fractals are not used to describe patterns.
It came to me today while on my bike to work: Fractals are an object thing, and describe the object through all scales; normal distribution or statistics need a parameter to function.
example :Stars are fractal, and will not distribute without a parameter : when we add say star size, star colour or distance, we get a distribution.
So I believe there is a very close relationship between the two - what is interesting is that distribution patterns are very  fractal, absolutely universal.

It is a goal of mine to understand this more: for there is more to it.

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