Four new hetero-metallic copper(II)–cadmium(II) complexes [{(CuL)2Cd}2(μ1,5-N(CN)2)2](ClO4)2·(H2O)2 (1), {[{(CuL)2Cd}2(μ1,3,5-N(CN)2)2](ClO4)2}n (2), {[(CuL)2Cd(μ1,5-N(CN)2)](ClO4)}n (3) and [(CuL)2Cd(μ1,5-N(CN)2)2]n (4) have been synthesized using a trinuclear hetero-metallic node, [(CuL)2Cd]2+ (where H2L = N,N′-bis(salicylidene)-1,3-propanediamine) and a dicyanamido spacer by varying the ratios of the reactants and temperature. The hetero-trinuclear node is formed in situ by the reaction of the “metalloligand” [CuL], cadmium perchlorate and sodium dicyanamide. All the complexes are structurally characterized. Complex 1 is a discrete hexanuclear cluster where two trinuclear nodes are connected through the Cd centres by convergent double μ1,5-dicyanamido spacers. Complex 2 is a 1D stair coordination polymer, in which the hexanuclear units are joined by the coordination of the central nitrogen atom of a μ1,3,5-dicyanamido ligand to the Cu atom of another unit. In contrast, complex 3 is a 1D zigzag chain, formed by connecting the Cd centre of trinuclear nodes via divergent μ−l,5-dicyanamido spacers. These three complexes contain a common [(CuL)2Cd(N(CN)2)]ClO4 trinuclear unit as the molecular building block. They represent an example of “supramolecular isomerism” of 0D/1D coordination polymers. On the other hand, replacement of the perchlorate ions from this trinuclear unit by another dicyanamido spacer results in complex 4, which is a 3D network, constructed by joining the trinuclear nodes through both Cd and Cu centers with the help of divergent dicyanamido spacers in the μ−l,5 mode.