Twist tori are examples of exotic monotone lagrangian tori, presented in [1].
This tree of examples grew up over the first one --- the torus $\Theta \in
\R^4$, constructured in [2] and [3]. On the other hand, in [4] and [5] we
proposed a new structure which generalizes the notion of toric structure. One
calls this generalization pseudo toric structure, and several examples were
given which show that certain toric symplectic manifolds can carry the structre
and that certain non toric symplectic manifolds do the same.