  In this paper we prove that a finite triangulation of a connected closed
surface is completely determined by its intersection matrix. The
\emph{intersection matrix} of a finite triangulation, $K$, is defined as
$M_{K}=(dim(s_{i}\cap s_{j}))_{0\leq i,0\leq j}^{n-1}$, where $K_{2}=\{s_{0},
\ldots s_{n-1}\}$ is a labelling of the triangles of $K$.
