The asymptotics in Theorem 2.6 have an intuitive electro-magnetic interpretation. Namely, for $|z|$ large, the electric potential determined by the union of point charges on $\Lambda\times\{z_{0}\}$ is approximated by an evenly distributed charge on the corresponding plane $\mathbb{C}\times\{z_{0}\}$ in the universal cover. The electric potential of this uniformly charged plate corresponds to the linear term in $V_{\infty}$. Further, for any number of charged plates parallel to the $xy$-plane located at $z=z_{i}$, $i=1,\ldots,m_{0}$, we can add together the corresponding $V_{i}$ to get the potential $V=V_{1}+\dots+V_{m_{0}}$, and the potential at large distances looks like the potential due to $m_{0}$ uniformly charged plates.