battlebrot by kram1032

I hope you don't get bored with my firey colour themes... but they're kinda my personal favourites

Well, this represents basically the mixed form of either of the three algebratic coordinate systems...

x->x²+y²+a
y->2xy+b
which represents split complex or double numbers.

in next iteration:

x->x²+a
y->2xy+b
which represents dual numbers

and in next iteration:

x->x²-y²+a
y->2xy+b
which represents the complex numbers

edit: here's the reference for all those types [link]

with a bit of fantasy you could make out details of either.
Well, at least of the complex numbers and the split complex ones... it's overally mandelbrot-ish but has that x-like structure in it, too

edit: corrected naming