Elementary fractal geometry. 5. Weak separation is strong separation
Christoph Bandt Michael F. Barnsley
For self-similar sets, there are two important separation properties: the
open set condition and the weak separation condition introduced by Zerner,
which may be replaced by the formally stronger finite type property of Ngai and
Wang. We show that any finite type self-similar set can be represented as a
graph-directed construction obeying the open set condition. The proof is based
on a combinatorial algorithm which performed well in computer experiments.