fractals

Eighteen IFS fractals, morphing one into the next: each transition just interpolates the coefficients of the affine maps.
The hard part was not the interpolation but ordering the chain, so that every step stays a recognisable fractal instead of dissolving into dust. Which transition surprises you most?

( z_{n+1}=z_n^2*\frac{\frac{z_n-k_3}{z_n-k_2}-k_1}{z_n-k_0}+c )

unfortunately (k) parameters not saved.