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? I have been thinking about this for some time. I am surprised that fractals are not used to describe patterns. It came to me today while I was biking to work: Fractals are objects that describe the object through all scales; normal distributions or statistics need a parameter to function. For 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 and absolutely universal. It is a goal of mine to understand this more, for there is more to it. Update Feb 2020 I wrote the above some time ago, but it is coming back to me now as I know more and have more questions. I am talking ...