  We will construct the Chow rings for unimodular triangulations and prove that
if a polytope admits a unimodular triangulation, such that the closed star of
every interior point is a convex polytope, the intersection of the closed stars
of any collection of interior points is a full-dimensional polytope, and every
interior point is connected with a point on the boundary via an edge of the
triangulation, then its Ehrhart $\delta$-vector is unimodal.
