Logo by S Nelson - Contribute your own Logo!

END OF AN ERA, FRACTALFORUMS.COM IS CONTINUED ON FRACTALFORUMS.ORG

it was a great time but no longer maintainable by c.Kleinhuis contact him for any data retrieval,
thanks and see you perhaps in 10 years again

this forum will stay online for reference
News: Visit us on facebook
 
Home Help Search Gallery Downloads Login Register
*
Welcome, Guest. Please login or register. November 20, 2025, 10:27:15 AM


Login with username, password and session length


The All New FractalForums is now in Public Beta Testing! Visit FractalForums.org and check it out!


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?
Pages: [1]   Go Down
« previous next »
  Print  
Share this topic on DiggShare this topic on FacebookShare this topic on GoogleShare this topic on RedditShare this topic on StumbleUponShare this topic on Twitter
Author Topic: Did you know that Pi is hidden at the bottom of the seahorse & elephant valleys?  (Read 3857 times)
0 Members and 1 Guest are viewing this topic.
bib
Global Moderator
Fractal Senior
******
Posts: 2070


At the borders...


100008697663777 @bib993
WWW
« 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>
Logged
Between order and disorder reigns a delicious moment. (Paul Valéry)
TheRedshiftRider
Fractalist Chemist
Global Moderator
Fractal Iambus
******
Posts: 854



WWW
« 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.
Logged
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
DarkBeam
Global Moderator
Fractal Senior
******
Posts: 2512


Fragments of the fractal -like the tip of it
« Reply #2 on: June 05, 2016, 06:56:40 PM »
the lady is pretty too afro sorry
Logged
No sweat, guardian of wisdom!
TheRedshiftRider
Fractalist Chemist
Global Moderator
Fractal Iambus
******
Posts: 854



WWW
« 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
Logged
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
Conqueror
*******
Posts: 114
« 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...
Logged
fractals + procgen: My shapeways shop
Chillheimer
Global Moderator
Fractal Schemer
******
Posts: 972


Just another fractal being floating by..


chilli.chillheimer chillheimer
WWW
« 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?
Logged
--- Fractals - add some Chaos to your life and put the world in order. ---
bib
Global Moderator
Fractal Senior
******
Posts: 2070


At the borders...


100008697663777 @bib993
WWW
« 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>
Logged
Between order and disorder reigns a delicious moment. (Paul Valéry)
mclarekin
Fractal Senior
******
Posts: 1739
« Reply #7 on: June 11, 2016, 02:26:25 AM »
Incredible stuff and cool site, Thanks guys afro afro
Logged
Pages: [1]   Go Down
« previous next »
  Print  
« previous next »
 
Jump to:  

Related Topics
Subject Started by Replies Views Last post
On the Bottom Mandelbulb3D Gallery lenord 0 593 Last post April 20, 2011, 06:14:42 AM
by lenord
At the Bottom of the Abyss Mandelbulb3D Gallery Kali 0 734 Last post May 14, 2011, 04:37:58 PM
by Kali
Bottom Feeders Mandelbulb3D Gallery lenord 1 643 Last post June 05, 2011, 02:31:46 AM
by arthurx Titanium
Dive into Seahorse, Dragon and Elephant valleys Movies Showcase (Rate My Movie) Kalles Fraktaler 1 1155 Last post January 20, 2014, 04:14:14 AM
by Dinkydau
Valleys of the Balls Movies Showcase (Rate My Movie) trumanbrown 2 855 Last post April 29, 2016, 11:57:52 AM
by 1Bryan1

Powered by MySQL Powered by PHP Powered by SMF 1.1.21 | SMF © 2015, Simple Machines

Valid XHTML 1.0! Valid CSS! Dilber MC Theme by HarzeM
Page created in 0.296 seconds with 24 queries. (Pretty URLs adds 0.024s, 2q)