Topology of planar self-affine tiles with collinear digit set

Shigeki Akiyama, Benoît Loridant, Jörg Thuswaldner

We consider the self-affine tiles with collinear digit set defined as follows. Let $A,B\in \mathbb{Z}$ satisfy $|A|\le B\ge 2$ and $M\in {\mathbb{Z}}^{2\times 2}$ be an integral matri…