As I laypersonly understand fractals they're a) part of something else and b) repeating series. The golden mean is found in so many places that it doesn't seem to me far-fetched that fractals could recur as parts of golden sections. Go close to a sunflower. Look. Step a bit farther away from a sunflower. Look. Step still farther away. Look. Examine your patterns, write your poem and/or research article. So I intuit, anyway, as I say, my comment is very much that of one on the margins of things scientific/mathematical.
William
Jim Piat <[EMAIL PROTECTED]> wrote:
Jim Piat <[EMAIL PROTECTED]> wrote:
Dear D^, Folks--My sketchy understanding of chaos theory is based solely on popular accounts. But isn't there some ratio that describes bifurcation points in many turbulent systems -- or the locations of so called strange attractors? That these fractal like chaotic systems are not so random as previously supposed? Strictly my layman's question based upon my layman's understanding or misunderstanding. So mine is a question to you all on the side. I realize the answer does not bear directly on what role the golden mean specifically may or may not play in fractal systems (i.e. whether such a value would be fundamental structurally -- temporally or spatially).Jim Piat----- Original Message -----From: P!^VP 0!Z!^VPSent: Friday, October 06, 2006 1:07 PMSubject: Re: ExistentialI wonder about this, Alan....
The golden mean evidences itself so nicely, naturally (of course) in so many ways, I often wonder if it doesn't also exist on the temporal stage.... re:cycles... as an example... which COULD put it in a Mandelbrot or some other such fractal relationship re chaos.....?
D^
On 5-Oct-06, at 10:54 PM, Alan Sondheim wrote:
I don't think chaos or fractals relate to the gold mean - you can make any kind of display you want of course, including some that would relate - but that would be in terms of one's graphics choice.P!^VP
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