Disk-like tiles and self-affine curves with noncollinear digits
Disk-like tiles and self-affine curves with noncollinear digits
Let $A\in M_n(\mathbb {Z})$ be an expanding matrix, $D\subset \mathbb {Z}^n$ a digit set and $T=T(A,D)$ the associated self-affine set. It has been asked by Gröchenig and Haas (1994) that given any expanding matrix $A\in M_2(\mathbb {Z})$, whether there exists a digit set such that $T$ is a connected or …