  The Fine interior $\Delta^{\text{FI}}$ of a $d$-dimensional lattice polytope
$\Delta$ is a rational subpolytope of $\Delta$ which is important for
constructing minimal birational models of non-degenerate hypersurfaces defined
by Laurent polynomials with Newton polytope $\Delta$. This paper presents some
computational results on the Fine interior of all $674,\!688$ three-dimensional
canonical Fano polytopes.
