  We consider the Schr\"{o}dinger equation $(i\partial_t+\Delta)u=0$ on an
$n$-dimensional simplex with Dirichlet boundary conditions. We use a commutator
argument along with integration by parts to obtain an observability asymptotic
for any one face of the simplex. Rather than the typical observability
inequality, we are able to do better as we instead prove a large-time
asymptotic.
