What is a fractal? By definition (thank you Wikipedia) A fractal is "a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole."
Interested in generating your own fractals? Make your own fractals by downloading this amazing program (written by Duncan Chambray) http://www.pbase.com/duncanc/fractal_images
Images below are highlights from Duncan's flickr group, highlighting fractal artists. http://www.flickr.com/search/?w=all&q=fractalworks&m=text
And for the nerd in all off us...listen to Mandelbrot Set by Jonathan Coulton ;-)
LOOMLAB's 3D fractal scarf [digital print on silk crepe de chine]
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