  In a previous article, we develop a continuous version of Kasteleyn theory to
study the bead model on the torus. These are the point processes on the
semi-discrete torus $\mathbb{T}_n := [0,1) \times \{0,1,\ldots,n-1\}$ (thought
of as $n$ unit length strings wrapped around a doughnut) with the property that
between every two consecutive points on same string, there lies a point on the
neighbouring strings. In this companion article, we obtain the main results of
the previous article via an alternative route, using scaling limits of dimer
models as opposed to the continuous Kasteleyn theory. In any case, we hope that
the article may serve as a gentle introduction to Kasteleyn theory on the
torus.
