  We classify compactification lattices for supersymmetric Z2 times Z2
orbifolds. These lattices include factorisable as well as non-factorisable
six-tori. Different models lead to different numbers of fixed points/tori. A
lower bound on the number of fixed tori per twisted sector is given by four,
whereas an upper bound consists of 16 fixed tori per twisted sector. Thus,
these models have a variety of generation numbers. For example, in the standard
embedding, the smallest number of net generations among these classes of models
is equal to six, while the largest number is 48. Conditions for allowed Wilson
lines and Yukawa couplings are derived.
