Hyperspacelotus cut-through by kram1032

So, there it is.
The first slice of a true 3D Buddhabrot Tribar-variation by me...

the tribar-formula is

x->x²-y²+a;
y->-(2xy+b);

as you might be aware of.

Now that there are three lines, two of them being considered as imaginary, there are three ways to extend the tribar.

first off, the overall Mandelbrot-set formula I use:

x -> x² - y² + a
y -> 2xy - 2yz +b
z -> 2xz - y² + c

so, as y and z are imaginary, the three ways are
either inversing y
or z
or both

the variant I used here is the second one which looked the most interesting to me from just that single slice...

x -> x² - y² + a
y -> 2xy - 2yz +b
z -> -(2xz - y² + c)

to find a proper name for this one, I'd need to see how it looks like in 3D, which would need voxels, which I've no idea about how I could implement them^^

so, take this as a preview of all the beauty, that might be in this one

to see, what's possible, you can go here [link] and scroll about two thirds down to see a(n other) 3D Buddhabrot (I'm not sure but I think, I'm using a different formua...)
Also the other pics on his page are nice to see (except maybe for the background image^^)

So, this image here shows the actual cut through the set in the XY-plane.