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Welcome to Fractal Forums > Fractal Math, Chaos Theory & Research > Mandelbrot & Julia Set > Did you know that Pi is hidden at the bottom of the seahorse & elephant valleys?
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Author Topic: Did you know that Pi is hidden at the bottom of the seahorse & elephant valleys?  (Read 3460 times)
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bib
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« on: June 05, 2016, 02:37:35 PM »
http://www.doc.ic.ac.uk/~jb/teaching/jmc/pi-in-mandelbrot.pdf

<a href="https://www.youtube.com/v/d0vY0CKYhPY&rel=1&fs=1&hd=1" target="_blank">https://www.youtube.com/v/d0vY0CKYhPY&rel=1&fs=1&hd=1</a>
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TheRedshiftRider
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« Reply #1 on: June 05, 2016, 02:51:59 PM »
Yes, it is fascinating.

http://www.fractalforums.com/mandelbrot-and-julia-set/approximating-pi-with-the-m-set-(numberphile)/

Thanks for adding the pdf explaining the whole theory.
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DarkBeam
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« Reply #2 on: June 05, 2016, 06:56:40 PM »
the lady is pretty too afro sorry
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TheRedshiftRider
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« Reply #3 on: June 05, 2016, 07:17:46 PM »
Quote from: DarkBeam on June 05, 2016, 06:56:40 PM
the lady is pretty too afro sorry
devil  laugh
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Motivation is like a salt, once it has been dissolved it can react with things it comes into contact with to form something interesting. nerd
Max Sinister
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« Reply #4 on: June 08, 2016, 10:33:05 PM »
And if you use the traditional z²+c algorithm and also count the steps, after the first step your "set" will be a simple circle.

It starts with a circle, and it ends in Pi...
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Chillheimer
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« Reply #5 on: June 08, 2016, 11:59:17 PM »
so we have fibonacci, the power law and pi in the mandelbrot set.
(I actually am convinced that the basic forms of calculus are in it too.)

what other numbers are hidden there?
what about eulers number in there too?
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bib
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« Reply #6 on: June 10, 2016, 10:51:06 AM »
Other examples of Pi as fractals!
<a href="https://www.youtube.com/v/8pj8_zjelDo&rel=1&fs=1&hd=1" target="_blank">https://www.youtube.com/v/8pj8_zjelDo&rel=1&fs=1&hd=1</a>
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Between order and disorder reigns a delicious moment. (Paul Valéry)
mclarekin
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« Reply #7 on: June 11, 2016, 02:26:25 AM »
Incredible stuff and cool site, Thanks guys afro afro
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