The beauty of roots

[s31415]

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/
And here is an applet drawing the set:
http://gregegan.customer.netspace.net.au/SCIENCE/Littlewood/Littlewood.html

Best,

Sam

[DarkBeam]

This is surprisingly similar to the beloved Barnsley1, that is oooold ...

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,

See the images here!

[bib]

Interesting. Between Barnsley and flames...

[s31415]

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

[DarkBeam]

Bugman's render;

http://bugman123.deviantart.com/art/Polynomial-Roots-205116675