A generalization of triplex z^p+c

[kram1032]

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.

[Furan]

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.

[Furan]

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.

[kram1032]

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

[Alef]

* 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.

[kram1032]

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).