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August 18, 2007
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Julia Set Animated Explained by chaos5 Julia Set Animated Explained by chaos5
This is the explination for the animated Julia set [link]
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:iconlyc:
another interesting c-curve is:

r = 0.5 * cos(t) - 0.25 * cos(2.0 * t);
i = 0.5 * sin(t) - 0.25 * sin(2.0 * t);

that takes you along the first bulb of the mandelbrot set, which is a kind of "index" to the julia sets; moreover, it is said that the most interesting behaviour in the julia is found on the edge between the chaotic and simple parts of the mandelbrot set, which is exactly what the above equations parameterise :)

i've made some animations along these paths, though it's been a while since i've actually viewed them so i can't say if they're finished or not:

[link]
[link]

(they need the x264 codec, which is part of the excellent ffdshow: [link])

i can't remember whether or not the test-series of animations in that /wip folder are more julia animations or flame fractal animations :/
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:iconchaos5:
Thanks a lot! Those videos were awesome. Downloading the right codec was a bit of trouble though. :)
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:iconlyc:
new one, just to tie up the cpu while i'm coding the next generation stuff: [link]
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:iconchaos5:
Very interesting shading technique.
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:iconlyc:
thanks -- i made a shading function that goes both positive and negative, and then instead of just using a single time value for each frame, i used a range; what this does is produce a sort of time-derivative image, and by moving the interval around you get the effect shown.
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