Twists in U(\mathfrak{sl}_3) and their quantizations

The solutions of the Drinfeld equation corresponding to the full set of different carrier subalgebras \frak{f}\subset\frak{sl}_3 are explicitly constructed. The obtained Hopf structures are studied. It is demonstrated that the presented twist deformations can be considered as limits of the corresponding quantum analogues (q-twists) defined for the q-quantized algebras.