@b4c50e1b @cd2b7137 Thanks! that's what I meant - was making sure that as the degrees get large, the boundaries of the dragon-y shapes, for instance continue to look dragon-y as opposed to completely filling the space as it appears to closer to the |z|=1 regions
@0bacad63 - the sets do converge as the degrees get large (i.e. the degrees plus 1 get large in a multiplicative sense) , but a lot has not been proved about what the limiting set looks like!
It's known that this set is contained in the annulus
1 ≤ |z| ≤ 2
and that it contains the annulus
2^(-1/4) ≤ |z| ≤ 2^(1/4)
It's also known that this set is connected and locally path-connected! But that's about all.