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Mandelbrot Set Zoom

A zoom into the Mandelbrot Set, from 1:1 scale to a 6th-level mini-set. Set to Jonathan Coulton's "Mandelbrot Set" (used under the Creative Commons license; share and enjoy!) Explanation of the Man...  
 
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chaOsMastaGuru (1 month ago) Show Hide
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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?
FlyByPC (1 month ago) Show Hide
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Try coloring them based on log(iter) instead of iter. That seems to produce a lot less noise.
chaOsMastaGuru (1 month ago) Show Hide
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Thanks for the suggestion, sounds good :)
tomystaulkers (1 month ago) Show Hide
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love the song... because i am to lazy to click to lim(x->0) who does it?
sebwproductions (1 month ago) Show Hide
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go Jo Co!
RealParadoxBlues (1 month ago) Show Hide
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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.
scumgrizzly (1 month ago) Show Hide
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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.
myjunno (1 month ago) Show Hide
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wow brilliant...

i still dunno how to draw that ....
chapel582 (1 month ago) Show Hide
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it's a fractal, so i think you'd make a program to act recursively
FlyByPC (1 month ago) Show Hide
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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.

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