How to Use a Cartesian Plane to Find the Radius of a Circle for ART

Actually the article here has little to do with the image displayed. The article shows you how to find the radius of a circle on a cartesian plane and that's where it ends. I'd say just take the image as the inspiration source. The article probably used that to catch some attention.

Specifically speaking about the image, what you're seeing is based off of a field of study called chaos theory and it's a pretty broad category. The analysis of chaos becomes really fun when you apply time to it, and I guess this is where it kinda complex and really artsy too. Simulating these systems often results in unique out comes (which frequently has a name to them) and also exhibit behavior characteristic of natural events. Certain systems also can be used to describe pretty much anything including economic trends, the pattern on a sea shell, wind patterns and the list goes on and on.

And blah blah blah appreciation of math aside, the image you see above was probably created using Chaoscope which allows people to make pretty pictures based on awesome chaos-related stuff. Specifically speaking about the patterning effect you see in this image, I think it's similar (or it probably is) work by Michael Field and Martin Golubitsky. You should check their book out if you're really really curious you should check their work "Symmetry in Chaos": http://www.amazon.com/Symmetry-Chaos-...0198536895

Alright I went super off topic... so how do you draw that image in FilterForge? Um... well I don't know lol. But what I can say is that you can produce images using chaosscope (http://www.chaoscope.org/index.htm) and I don't really know if FilterForge is even capable of doing high-degrees of dynamics. Probably can. Would be interesting.

And I should also put that well... see... it doesn't have to be drawn using chaos theory mapping dynamic system whatever. Probably can get similar results by experimenting with values a little bit.

I work with semi-mathy programs all day long so I end up somehow knowing stuff.

More likely chaoscope was used to render the image. The default color scheme looks like that and Chaoscope is pretty popular.