Title: The beauty of roots Post by: s31415 on January 02, 2012, 10:46:06 AM Hi,
Here is a new way of drawing 2d fractals. It yields something a bit like a Mandelbrot set for 2d affine IFS. Check this blog post: http://johncarlosbaez.wordpress.com/2011/12/11/the-beauty-of-roots/ (http://johncarlosbaez.wordpress.com/2011/12/11/the-beauty-of-roots/) And here is an applet drawing the set: http://gregegan.customer.netspace.net.au/SCIENCE/Littlewood/Littlewood.html (http://gregegan.customer.netspace.net.au/SCIENCE/Littlewood/Littlewood.html) Best, Sam Title: Re: The beauty of roots Post by: DarkBeam on January 02, 2012, 11:10:11 AM This is surprisingly similar to the beloved Barnsley1, that is oooold ;D ...
I also made some variations of it. The funniest I made is Pinski's Bar, a modified Barnsley that features Sierpinski's triangle as a Julia set, :D :D :D See the images here! ;) Title: Re: The beauty of roots Post by: bib on January 02, 2012, 01:52:43 PM Interesting. Between Barnsley and flames...
Title: Re: The beauty of roots Post by: s31415 on January 02, 2012, 07:25:56 PM Interesting remark... actually, this reminded me that I used a Barnsley-like algorithm to draw fractals resembling IFS, check IFS-Barnsley in sam.ufm. But the two sets are a bit different: the Barnsley algorithm introduces discontinuities which are absent in ordinary IFS.
Sam Title: Re: The beauty of roots Post by: DarkBeam on January 30, 2012, 10:21:29 AM Bugman's render; http://bugman123.deviantart.com/art/Polynomial-Roots-205116675 :dink: |