Resumo: Let us denote by X(S) ⊂ Cp the toric variety given by the semigroup S ⊂ Zs. In the case of affine normal toric varieties it is well known that the semigroup S = ˇσ ∩ Zs, where ˇσ ⊂ Rs is a strongly convex cone. And for normal toric surfaces there is a normal form for ˇσ, which facilitates the study of these surfaces. As far as we know, there is no analogous result for the non-normal case. Moreover, for toric varieties of higher dimension, there is no similar normal form describing the combinatorics, even in the normal case.