Multiples of lattice polytopes

As counterexamples in Section 2.D show, even a normal lattice polytope need not be covered by its unimodular subsimplices. On the other hand, results like Corollary 2.57 show that certain properties improve if one replaces P by a multiple cP. This can be seen as an expression of the fact that the discrete structure of cP approximates the continuous structure of P better and better when c → ∞.