Intersections of Cantor Sets Derived from Complex Radix Expansions

Neil MacVicar

Let $C$ be the attractor of the IFS $\{f_d(z)=(-n+i{)}^{-1}(z+d):d\in D\}$, $D\subset \{0,1,\dots ,n^2\}$ and let $\dim$ denote the box-counting dimension. It is known that…