Preimages of the green circle under map f(z)=z2+0.25{\displaystyle f(z)=z^{2}+0.25}. Preimages of the green circle from the interior gives level curves of the attracting time ( boundaries of the level sets). Green circle here is an attracting petal of the Leau–Fatou flower. Fixed point is on the circle and on the boundary of the Fatou set. Standard view is not readible so click on the image to see animation !! Reload ( refresh ) to see it again.
Own work
Adam majewski