  The Adler-Bobenko-Suris (ABS) list contains all scalar quadrilateral
equations which are consistent around the cube. Each equation in the ABS list
admits a beautiful decomposition. In this paper, we first revisit these
decomposition formulas, by which we construct B\"acklund transformations (BTs)
and consistent triplets. Some BTs are used to construct new solutions, lattice
equations and weak Lax pairs.
