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1 point

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4th Apr 2019

the concept you're looking for is fractal.

an important book on the mathematical description of nature called "The Fractal Geometry of Nature" was written about 40 years ago by a guy named Benoit Mandelbrot. in it, he described how iterative natural processes could be described mathematically to model natural phenomena. it's an amazing book, a work of true genius, but heavy reading.

the Fibonacci sequence is not fractal -- that is, self-similar over a broad domain of scales. but some sequence sets are.

in any case, the self-similarity you are observing in this -- how the small branches look just like the big branches but in miniature -- is definitely fractal and just one of the many ways in which human systems represent our nature.

1 point

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6th Sep 2016

I would strongly encourage you to pick up Mandelbrot's book on fractals as it shows the intersection of real-world problems with fractal theory. There are now better introductions now but this is THE CLASSIC reference (and a good read).

Here is the amazon link, but you can often grab it in used bookstores.

1 point

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20th Sep 2022

Adding a link to Mandelbrot's *other* book (he's written several in addition to the one about his eponymous Set), called _The Fractal Geometry of Nature_ https://www.amazon.com/Fractal-Geometry-Nature-Benoit-Mandelbrot/dp/0716711869

which talks about this very subject.

1 point

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8th Jan 2010

I keep a copy of The Fractal Geometry of Nature by Benoit Mandelbrot around for casually thumbing through. Too much of it and you get a headache.

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