Mandelbrot Set Zoom

hey, this looks exactly like the pictures on wikipedia :) Maybe you could help me out?

I'm writing a mandelbrot explorer, and one thing I've been incapable of doing is assigning good colour values. I can get the normalized escape of each point, but I can't find a good way to assign colours to each one. If I simply assign them based on a linear system, then zooming in will cause a lot of noise. Is there a nice way to get colours based on the escape?

Try coloring them based on log(iter) instead of iter. That seems to produce a lot less noise.

Thanks for the suggestion, sounds good :)

love the song... because i am to lazy to click to lim(x->0) who does it?

go Jo Co!

The funniest part is that Coulton screwed up (and he knows it) - in the chorus, he's reciting how to make the Julia set.

As for the video... wow, imagine if you were on illicit substances.

yeah, all he had to do is change one word. "If the series of Z's will always stay close to ZERO and never trend away....." would be a Mandlebrot Set instead of a Julia Set.

wow brilliant...

i still dunno how to draw that ....

it's a fractal, so i think you'd make a program to act recursively

Google it -- or look further down in the comments; I've explained the basic algorithm there. For each point in the complex plane, let C be the coordinates of this point (=a+bi). Start with Z=0+0i, and keep iterating Z<-Z^2+C. If the absolute value of Z exceeds 2, the point is not in the Mandelbrot set; color it according to the number of steps it took to escape. If it doesn't escape within a set number of steps, color it black, since it is a part of the set.