We examine three experimental observations of Faraday waves generated by
two-frequency forcing, in which a primary hexagonal pattern becomes unstable to
three different superlattice patterns. We use the symmetry-based approach
developed by Tse et al. to analyse the bifurcations involved in creating the
three new patterns. Each of the three examples reveals a different situation
that can arise in the theoretical analysis.Comment: 14 pages LaTeX, Birkhauser style, 5 figures, submitted to the
proceedings of the conference on Bifurcations, Symmetry and Patterns, held in
Porto, June 200