  The ordering transitions of a 2D lattice liquid characterized by a single
favoured local structure (FLS) are studied using Monte Carlo simulations. All
eight distinct geometries for the FLS are considered and we find a variety of
ordering transitions - first order, continuous and multi-step transitions.
Using a microcanonical representation of the freezing transition we resolve the
dual influence of the local structure on the ordering transition, i.e. via the
energy of the crystal and the entropy cost of structure in the liquid.
