On 06/09/2020 17:27, Dan Asimov wrote:

I'm just guessing, but the pictures so far look to me like fractal sets that are in fact connected. Much like how the Mandelbrot set itself seemed to be disconnected in early pictures of it, until higher resolution computer graphics became possible.

It's a plausible speculation, but for what it's worth zooming in further and running many iterations doesn't show any sign of connecting "threads" between the disconnected-looking islands. I wouldn't at all rule out the possibility that numerical errors are at work, though. My code is very simple-minded and just literally runs the given iteration using ordinary double-precision floating point. It's possible, e.g., that some things turn into infinities in ways that make the results wrong. -- g