Integer-empty polytopes in the 0/1-cube with maximal Gomory–Chvátal rank

We provide a complete characterization of all polytopes P⊆[0,1]nP⊆[0,1]n with empty integer hulls, whose Gomory–Chvátal rank is nn (and, therefore, maximal). In particular, we show that the first Gomory–Chvátal closure of all these polytopes is identical.