A series of CuII coordination polymers with different topologies, namely [CuL(L1)] • 2H2O(1), [CuL1.5(L2)] • 3H2O(2), [CuL(L3)] • 3H2O (3) and [Cu2L2.5(L4)(H2O)] • 10H2O(4) [ L = 1,1’-(1,4-butanediyl)bis(imidazole), H2L1 = fumaric acid, H2L2 =1 ,1’-ferrocenedicarboxylic acid, H2L3 = succinic acid, and H4L4 = pyromellitic acid], are presented. Different polymeric frameworks are obtained by varying the polycarboxylate anions. These include the threefold interpenetrated diamond structure of 1, the rare twofold interpenetrated 4664 network of 2, and two planar four-connected networks of 3 and 4, which display an unusual Archimedean-type (658) (6482) net containing two different types of nodes and a (5648) (526282)2 (68410) (5462) net containing four different types of nodes, respectively. Thermogravimetric analysis (TGA) curves of 1, 2, 3, and 4 exhibit three similar weight-loss stages.