  For a two dimensional vector $\bar v=(\alpha,\beta)$, where $\alpha>0,
\beta>0$ are irrational numbers independent over $\mathbb{Q}$, we consider the
set $D_n=\{(i\alpha\,{\rm mod}\,1,i\beta\,{\rm mod}\,1),i=1,\ldots,n\}$ in a
two dimensional torus and the partition of this torus into Voronoi cells. Areas
and forms of these cells are the subject of this experimental work.
