  We present several examples of T^8/P orbifolds with $P \subset SU(4)$. We
compute their Hodge numbers and consider turning on discrete torsion. We then
study supersymmetric compactifications of type II, heterotic, and type I
strings on these orbifolds. Heterotic compactifications to D=2 have a B-field
tadpole with coefficient given by that of the anomaly polynomial. In the SO(32)
heterotic with standard embedding the tadpole is absent provided the internal
space has a precise value of the Euler number. Guided by their relation to type
I, we find tadpole-free SO(32) heterotic orbifolds with non-standard embedding.
