  Consider a lattice in a real finite dimensional vector space. Here, we are
interested in the lattice polytopes, that is the convex hulls of finite subsets
of the lattice. Consider the group $G$ of the affine real transformations which
map the lattice onto itself. Replacing the group of euclidean motions by the
group $G$ one can define the notion of regular lattice polytopes. More
precisely, a lattice polytope is said to be regular if the subgroup of $G$
which preserves the polytope acts transitively on the set of its complete
flags. Recently, Karpenkov obtained a classification of the regular lattice
polytopes. Here we obtain this classification by a more conceptual method.
Another difference is that Karpenkov uses in an essential way the
classification of the euclidean regular polytopes, but we don't.
