Monday, 9 February 2009

Cool Circley Fractal!

While playing about with some Mandelbrottish code, I've managed to find a fractal that looks like it's entirely made out of circles:

'Sun-Disc' fractal
Instead of having Mandelbrots that spawn "mini-Mandelbrots", it's got circles spawning "mini-circles".

Yaaay Me!

I may have to adopt a version of this as my new logo ...

3 comments:

dranorter said...

Yep, there are infinitely many julia sets composed "entirely" (mathematical rigor pending) of circles. I'd practically forgotten about them, they are pretty cool.

spottyVision said...

hmm, lotsa circles in the blogspot {spot?} background image...

ErkDemon said...

The circley fractal was generated using a sine function, z--> c sin(z). It seems to generate counterparts of (all?) the usual Julia Set images, but with extra repetition and threading.

This one was the counterpart of the conventional Julia Set image for coordinates (0,0) (which normally generates a simple non-fractal circle):
http://www.relativitybook.com/CoolStuff/julia_set_alt.html