Topological Structure of Fractal Squares

Ka-Sing Lau, Jun Jason Luo, Hui Rao

Given an integer $n\ge 2$ and a digit set $\mathcal{D}⊊{0,1,...,n-1}^2$, there is a self-similar set $F\subset {\mathbb{R}}^2$ satisfying the set equation: $F=(F+{\mathcal…