  Let $W(z_1, \cdots, z_n): (\mathbb{C}^*)^n \to \mathbb{C}$ be a Laurent
polynomial in $n$ variables, and let $\mathcal{H}$ be a generic smooth fiber of
$W$. In \cite{RSTZ} Ruddat-Sibilla-Treumann-Zaslow give a combinatorial recipe
for a skeleton for $\mathcal{H}$. In this paper, we show that for a suitable
exact symplectic structure on $\mathcal{H}$, the RSTZ-skeleton can be realized
as the Liouville Lagrangian skeleton.
