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Welcome to Fractal Forums > Fractal Math, Chaos Theory & Research > Mandelbrot & Julia Set > The 3D Mandelbulb > Theory > A generalization of triplex z^p+c
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Author Topic: A generalization of triplex z^p+c  (Read 15449 times)
Description: A whole new vista?
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kram1032
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« Reply #15 on: March 05, 2013, 12:30:21 AM »
Usually, Atan2(y,x) gives the angle as you want it. I find it highly unintuitive that it's not Atan2(x,y), but that's how, afaik, it's implemented in most languages.
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Furan
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« Reply #16 on: March 05, 2013, 08:53:10 AM »
There are actually several other errors in the code that didn't show up. I have to finish my presentation for tomorrow, than I'll be free to finish this. I corrected some errors but the outer cycle still diverges during first iteration. I'll have to check it with my initial algorithm in matlab.
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Furan
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« Reply #17 on: March 08, 2013, 12:23:46 PM »
Ok, its corrected now. Still not much difference. I was hoping a periodic pattern would emerge as in the MandelDonut.
Thank you, Kabuto, for pointing the error.
I'll try to improve the efficiency of the algorithm and put it here for others.
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kram1032
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« Reply #18 on: March 08, 2013, 04:38:32 PM »
But it IS periodic. Just not organized in bulbs as much as roots or vessels or something.
I like it very much! - and I'm curious what kind of crazy cross-combinations people will come up with once you got some correct and readible code smiley
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Alef
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« Reply #19 on: March 09, 2013, 01:41:44 PM »
Quote from: Kabuto on March 04, 2013, 09:42:55 PM

* What exactly does atan2 do? Does atan2(y,x) behave like atan(y/x)+(x < 0 ? pi*sign(y) : 0) for x!=0 and y!=0? Or is it rather the other way round, i.e. atan2(x,y)?
I think atan2 should computa angle between complex parts. That is complex argument.
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kram1032
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« Reply #20 on: March 09, 2013, 07:12:14 PM »
yes, I believe, the question was about argument order.
Typically, if you have your complex plain and want your angle, beginning from +1, going to +i, then +1 and -i, Atan2 takes first the imaginary part and then the real one, so Atan2(y,x).
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