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Fractal Math, Chaos Theory & Research => Mandelbrot & Julia Set => Topic started by: bib on June 05, 2016, 02:37:35 PM




Title: Did you know that Pi is hidden at the bottom of the seahorse & elephant valleys?
Post by: bib on June 05, 2016, 02:37:35 PM
http://www.doc.ic.ac.uk/~jb/teaching/jmc/pi-in-mandelbrot.pdf

https://www.youtube.com/watch?v=d0vY0CKYhPY


Title: Re: Did you know that Pi is hidden at the bottom of the seahorse & elephant valleys?
Post by: TheRedshiftRider 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.


Title: Re: Did you know that Pi is hidden at the bottom of the seahorse & elephant valleys?
Post by: DarkBeam on June 05, 2016, 06:56:40 PM
the lady is pretty too O0 sorry


Title: Re: Did you know that Pi is hidden at the bottom of the seahorse & elephant valleys?
Post by: TheRedshiftRider on June 05, 2016, 07:17:46 PM
the lady is pretty too O0 sorry
:devil:  :laugh:


Title: Re: Did you know that Pi is hidden at the bottom of the seahorse & elephant valleys?
Post by: Max Sinister on June 08, 2016, 10:33:05 PM
And if you use the traditional zē+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...


Title: Re: Did you know that Pi is hidden at the bottom of the seahorse & elephant valleys?
Post by: Chillheimer 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?



Title: Re: Did you know that Pi is hidden at the bottom of the seahorse & elephant valleys?
Post by: bib on June 10, 2016, 10:51:06 AM
Other examples of Pi as fractals!
https://www.youtube.com/watch?v=8pj8_zjelDo


Title: Re: Did you know that Pi is hidden at the bottom of the seahorse & elephant valleys?
Post by: mclarekin on June 11, 2016, 02:26:25 AM
Incredible stuff and cool site, Thanks guys O0 O0