Structure and dimension for the boundary of self-similar sets (Q2757120)

In this paper a large class of self-similar sets with nonempty interior constructed in the representing system of \({\mathbb R}^2\) is studied. The author proves that the half boundary of such self-similar sets consists of a union of three \(A\)-perfect sets, and obtains a simple method to calculate its construction matrix \(A\). Then using the Marion theorem the Hausdorff dimensions of the boundary for the self-similar sets are obtained.