Three new coordination polymers [Cu5(N3)10(en)2]n (1), [Cu6(N3)12(en)4]n (2), and [Cu4(N3)8(en)4]n (3) have been synthesized in a controlled manner by treatment of a 1:2 mixture of Cu(NO3)2 and NaN3 with varying amount of ethylenediamine (en). Single-crystal structure analyses clearly indicated that the puckered Cu4 biscubane unit in 1 gradually opens to a slightly more open Cu4 macrocyclic unit in 2 when more en approaches to the Cu4 core. Upon addition of further en, an open Cu4 linear secondary building unit was obtained in complex 3. Complex 1 contains four different kinds of bridging modes of the azide anion and is a complicated 3D polymer. Similarly, complexes 2 and 3 are 3D and 2D polymers, respectively, containing three different kinds of bridging azides. Complex 3 contains two very rare cis end-to-end (EE) and single-end-on (EO) azido modes. Structural transformation from 1 to 3 was monitored and explained qualitatively. Variable-temperature magnetic studies in the temperature range of 300-2 K reveal the existence of dominant ferromagnetic behavior in all the three cases with a metamagnetic-type behavior in complex 1 with the critical field of transition at 0.8 T. The purity of all the complexes were established by elemental analyses, as well as by the powder XRD patterns that matched well with the expected patterns from the single-crystal structure analysis.