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

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SpaceRay
SpaceRay

Posts: 6224
Filters: 12
I found this interesting article that uses the math to draw this beautiful artistic circle shape

http://www.ehow.com/how_7865989_use-c...ircle.html

Image

Perhaps this could be useful as an inspiration for a FF filter for you that know how to use the math inside FF.
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Skybase
Who are you?

Posts: 1953
Filters: 58
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. smile:p
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SpaceRay
SpaceRay

Posts: 6224
Filters: 12
Thanks very much for the long, interesting, useful and well done description from a expert like you.

Sorry that I did not know that the article was not about making that graphic that was shown.

Beautiful examples can be seen in the preview of the book you have suggested, although as I am bad at maths I would not be able to use it at all, only for the images included smile:( smile:cry:

I have tried Chaoscope and is a curious interesting tool, although is weird (at least for me) how to use it, but it includes some good examples that you can load. The first time I though that the result was a cloud of points until I selected RENDER and then it appears the REAL result.

Thanks again for the time taken for making this post and for the useful information
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Skybase
Who are you?

Posts: 1953
Filters: 58
I work with semi-mathy programs all day long so I end up somehow knowing stuff. smile:p
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Sphinx.
Filter Optimizer

Posts: 1344
Filters: 38
Seems this guy made that image .. no info on rendering though, but there are other samples: http://www.123rf.com/photo_621057_cir...ender.html

Yes, it looks like a strange attractor like rendering, only it has controlled symmetry.

Strange attractor algorithms produce a large set of points to be plotted. That sort of projective algorithm does not go well in hand with FF. The problem here is related to the vector path rendering, so if we find a good approach there, strange attractors might be possible also
Njyldgarkn sample cache!
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Skybase
Who are you?

Posts: 1953
Filters: 58
More likely chaoscope was used to render the image. The default color scheme looks like that and Chaoscope is pretty popular. smile;)
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Sphinx.
Filter Optimizer

Posts: 1344
Filters: 38
(Chaoscope is a strange attractors rendering software smile;) smile;) )
Njyldgarkn sample cache!
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