Hi Lorentzian, thank's a lot for your feedback! I am happy that you liked the app. Best, Fritz

PS. A version in 2d hyperbolic space... Oh, actually, I never saw this. Which iteration is taken there? Actually, there woulds be infinite possibilities of including other things... higher power Mandelbrots or Julias for other polynomials, for example. The algorithms should generalize partly... It's mostly a matter of finding the time!

Hi Hoermann. The iterations are the same in the sense of looking at the parameter space of the quadratic z^2+c, except we're switching our point of view from the complex plane C to the 2D Minskovski plane or hyperbolic plane or "1+1 spacetime"(1 space coordinate and 1 time coordinate). This forms the natural setting for the so-called split-complex numbers:

x+jy where j^2 =1.

Now for complex numbers z^2 is given by

(x^2-y^2)+2ixy

but for split-complex numbers z^2 is given by

(x^2+y^2)+2jxy. Every split complex number can be represented as R(cosh(alpha)+jsinh(alpha)) in analogy with C.

It would be amazing if you could implement this small change! Please let me know if you have more questions about the Minkovski plane, thanks!