Re: [math-fun] Interesting limit question (sort of spoiler alert)

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. —Dan Gareth McCaughan wrote: ----- ... ... here's c=0.773+0.57i (which doesn't exhibit such instabilities): https://i.imgur.com/sn6Qk4v.png It seems to be disconnected but _not_ dust-like, which you never get with ordinary Julia sets. -----