  We consider the transition from a spatially uniform state to a steady,
spatially-periodic pattern in a partial differential equation describing
long-wavelength convection. This both extends existing work on the study of
rolls, squares and hexagons and demonstrates how recent generic results for the
stability of spatially-periodic patterns may be applied in practice. We find
that squares, even if stable to roll perturbations, are often unstable when a
wider class of perturbations is considered. We also find scenarios where
transitions from hexagons to rectangles can occur. In some cases we find that,
near onset, more exotic spatially-periodic planforms are preferred over the
usual rolls, squares and hexagons.
