  We study families of dependent site percolation models on the triangular
lattice ${\mathbb T}$ and hexagonal lattice ${\mathbb H}$ that arise by
applying certain cellular automata to independent percolation configurations.
We analyze the scaling limit of such models and show that the distance between
macroscopic portions of cluster boundaries of any two percolation models within
one of our families goes to zero almost surely in the scaling limit. It follows
that each of these cellular automaton generated dependent percolation models
has the same scaling limit (in the sense of Aizenman-Burchard [3]) as
independent site percolation on ${\mathbb T}$.
