Anybody else notice relationship between the droste effect and amazing box?

[gforce45]

here is a little animation test to show what i mean.(sorry if that doesn't show it very clearly, I'm sure one could follow the "log spirals" farther that i did with that render, i think it gets the point across though ) I think this only occurs with Julia values however    I also see this in many other amazing box renders.

http://sta.sh/01ob0nyud0dt

[DarkBeam]

No matter how hard I try, just cannot see

[Chillheimer]

in my opinion the droste effect is an important part of any fractal, self-similiarity.
thus it has to be in the amazing box as well.

[brasnacte]

I noticed their relationship but I thought they wanted to keep it a secret, so didn't wanna say anything.