My Math Forum  

Go Back   My Math Forum > Math Forums > Math

Math General Math Forum - For general math related discussion and news


Thanks Tree1Thanks
  • 1 Post By Joppy
Reply
 
LinkBack Thread Tools Display Modes
February 9th, 2017, 09:02 PM   #1
Newbie
 
Joined: Jul 2015
From: Seattle

Posts: 4
Thanks: 0

Fractals from Real-World Data?

Over the last few years I've been dinking around with fractals in my spare time, writing programs to draw them to make sure it actually works and my understanding of them is correct.

I have now learned to draw fractals in 3 different ways: equations, from shapes (like Koch curves), and from sort of arbitrary rule sets (vague, I know). But all of these share something in common: they deal with non, real-world things. Numbers defined by a human, programmed in and iterated. The real world is much more dynamic, with chaos playing a role.

So my question is this: can you take numbers (or data points) from the real world, and end up with fractals? Here's a completely arbitrary example I just thought up (literally)... say you have a tree in your back yard. the sun is moving throughout the day. You map the sun's position to an x, y plane, and pick a spot in your yard that is either covered by shadow (from the tree), or not, for the given x, y of the sun, and map that into a graphic (this is the same as the other fractals I've created as far as I can tell). Would it produce a fractal?

Hopefully this makes sense. I would like to take a bunch of real-world data, for example, like some entries into a database, or the number of code-checkins, or bugs created (I work in software) for our team at work, and generate a fractal from them.

Just curious. Thanks for any feedback!
mooserider is offline  
 
February 11th, 2017, 08:49 PM   #2
Newbie
 
Joined: Jul 2015
From: Seattle

Posts: 4
Thanks: 0

Been looking around for something like this. I remember watching a documentary on Mandelbot and they mentioned that the interference patterns in telegraph lines (or phones) was found to be self-similar. That seems like a real-world data situation that produces fractals, but that's the only one i've ever heard of, and that was off-handedly mentioned. Everything else I find in searches talks about nature examples, like a fern. But that's someone observing that a fern looks like a fractal. I'd like some examples where real-world data is used to generate a fractal if anyone knows of such a thing.

Thanks
mooserider is offline  
February 15th, 2017, 10:28 PM   #3
Newbie
 
Joined: Jul 2015
From: Seattle

Posts: 4
Thanks: 0

Bumping for some help.

Here are some pics (instead of just bumping) for your viewing pleasure. These are written in Canvas/JS. Pretty fast for a browser (pics below take < 5 seconds to render):

mbset.JPG

z=1
mbset_z1.JPG

colored randomly down the -x axis
mbset_colored.jpg

minibrot at high zoom
mbset.minibrotJPG.JPG
mooserider is offline  
February 16th, 2017, 12:15 AM   #4
Senior Member
 
Joined: Feb 2016
From: Australia

Posts: 858
Thanks: 312

Math Focus: Yet to find out.
Didn't Mr. Mandelbrot discover what he did from observing or trying to describe certain geometric patterns in nature? i.e., the real world (or parts of it).

It seems you have everything ready to go, and are asking permission to feed in real world data into your recursive function?

Or is your question actually Why when i feed in this set of (real) world data, fractals do not appear?. Or something along those lines.

Quote:
The real world is much more dynamic, with chaos playing a role.
Take a look at the fractals heading here.

--------------------------------------------------------

Nice pictures!
Thanks from topsquark

Last edited by Joppy; February 16th, 2017 at 12:19 AM.
Joppy is offline  
Reply

  My Math Forum > Math Forums > Math

Tags
data, fractals, realworld



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Real world problem, need help troyw Advanced Statistics 3 February 15th, 2014 05:56 AM
Real-world production problem billymac00 Applied Math 5 December 10th, 2013 03:15 PM
Real world problem. TeRr0rP1n Elementary Math 3 May 2nd, 2013 01:40 AM
A real world problem FreaKariDunk Elementary Math 5 April 4th, 2012 07:06 AM
Unfortunately a Real World Situation farmtalk Physics 0 August 2nd, 2011 03:15 PM





Copyright © 2017 My Math Forum. All rights reserved.