The phase behaviour of a lattice gas confined between two identical
plane-parallel substrates decorated with weakly and strongly
adsorbing stripes that alternate periodically in one transverse
direction is explored within mean-field theory. It is shown that
in the limit of zero temperature (T = 0), the mean-field
approximation becomes exact. A modular approach is used to
enumerate the possible structural types of phases (morphologies)
that can exist at T = 0. Analytic expressions for the grand
potentials associated with the morphologies can be obtained and used
to determine the exact phase diagram at T = 0. In addition to the
known `gas', `liquid', and `bridge' phases, new `vesicle', `droplet',
and `layered' morphologies arise, which were overlooked in previous
studies of this model. These T = 0 morphologies are taken as trial
starting solutions in an iterative numerical procedure for solving
the mean-field equations for T>0. The complete phase diagram is
thus obtained and its structure is studied as a function of the
relative strength of `strong' and `weak' stripes. A key finding is
that the number of possible morphologies increases rapidly with the
geometrical complexity of the decoration of the substrate. The
implications for the determination of phase diagrams for very
complex confined systems (e.g. fluids in random porous media) are
discussed.