Currently, I am thinking about a very special and interesting class of translation surfaces called double slit tori (i.e. one glue two indentical torus along two slits). Firstly, the linear flows on this class of surfaces would appear as suspension flows of $\mathbb{Z}_2$-skew product of rotation. I am interested in such systems that are minimal but not unique ergodic, where the first example was constructed by W. Veech in 1969. Secondly, I am interested in counting holonomy vectors in such surfaces effectively.