This question might be related to my question re other algebras -- e.g., complex numbers (Gaussian integers). Speaking of which, the computer graphics folks have done wonderful things by using *quaternions* instead of *complex numbers* in their *fractal pix*. Perhaps a *quaternion* Minsky/Trinsky would provide some really fun & pretty pix, as well? At 12:02 PM 6/6/2017, James Propp wrote:

What if anything is known about Minsky-ish maps whose orbits approximate hyperbolas rather than circles and ellipses?