Co-crystallization of hemimellitic acid (benzene-1,2,3-tricarboxylic acid) dihydrate (H3HMA·2H2O) with 4,4′-bipyridine (4,4′-bpy) affords the 1:1 co-crystal benzene-1,2,3-tricarboxylic acid–4,4′-bipyridine (1/1), H3HMA·4,4′-bpy or C9H6O6·C10H8N2. Strong O—H⋯O hydrogen bonds connect the acid molecules to form a one-dimensional zigzag chain, around which the 4,4′-bpy components are fixed as arms via O—H⋯N interactions, resulting in a ladder motif. Through weak C—H⋯O non-covalent forces, the resulting acid layers are extended into a three-dimensional pillar-layered architecture supported by rod-like 4,4′-bpy components. The influence on hydrogen-bonding models is also discussed, with the discovery of an unexpected interaction motif that does not follow the routine hydrogen-bonded hierarchical rule in the construction of an acid–base co-crystal. [ABSTRACT FROM AUTHOR]