Visibility of Cartesian products of Cantor sets

Tingyu Zhang, Kan Jiang, Wenxia Li

Let $K_{\lambda }$ be the attractor of the following IFS \begin{equation*} \{f_1(x)=λx, f_2(x)=λx+1-λ\}, \;\;0<λ<1/2. \end{equation*} Given $\alpha \ge 0$, we say the line $y=\alpha x$ is visible thro…