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| The House of Apollo II | ||||||
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| Description: A Mobius Patterns IFS fractal formed from a set of Mobius transformations. Created with the Fractal Science Kit fractal generator. See http://www.fractalsciencekit.com/ for details. The method used to produce this image is based on information in the book "Indra's Pearls - The Vision of Felix Klein" by David Mumford, Caroline Series, and David Wright. See David Wright's "Indra's Pearls" site at http://klein.math.okstate.edu/IndrasPearls/ site for additional details. Stats: Total Favorities: 0 View Who Favorited Filesize: 408.39kB Height: 900 Width: 900 Discussion Topic: View Topic Keywords: fractal chaos attractor IFS Apollonian gasket Kleinian circle inversion Mobius Posted by: Ross Hilbert  March 12, 2012, 12:28:20 PMRating:  by 2 members.Image Linking Codes
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Comments (3)  |
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matty686
Conqueror  Posts: 106 open-source rocks 
| March 14, 2012, 01:21:40 PM that's cool but i just discovered my own way to do it |
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Ross Hilbert
Fractal Phenom  Posts: 469
| March 12, 2012, 02:03:21 PM Hi maatty686, No, I do not have a formula for filling an arbitrary shape with circles based on the Apollonian gasket (if I understood your question right). Looks like a fun area to explore. I did a quick search on the web and found a few sites of interest. http://synthetik.com/vectorizer-close-packed-circles/ http://miulinglam.wordpress.com/tag/circle-packing/ http://www.flickr.com/photos/quasimondo/4671479023/ http://www.flickr.com/photos/quasimondo/4669551487/ Hope this helps, Ross |
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matty686
Conqueror Posts: 106 open-source rocks
| March 12, 2012, 01:41:03 PM Ross I have a question for you is there any way to build a custom Apollonian gasket to fit any shape you like using fractal science kit I would like to know before I think about buying it if so i am going to need the formula than i will buy fractal science kit to use as a template generator for my hand made fractals |
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