  In this paper, we develop a thermodynamic perturbation theory to describe the
self-assembly of patchy colloids which exhibit both patch-patch attractions as
well as patch / non-patch attractions. That is, patches attract other patches
as well as the no patch region. In general these attractions operate on
different energy scales, which allows for controlled self-assembly as well as
anomalous phase behavior. As an application we apply the model to the study of
liquid water.
