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The central CuN4O2 motif of the title compound, [Cu(ClO4)2(C8H6N4)(C10H8N2)]n, exhibits a Jahn–Teller-distorted octahedral geometry around the metal centre, showing a considerably long Cu—O bond distance of 2.634 (4) Å towards the second perchlorate group occupying the sixth coordination site, giving a (4+1+1)-type coordination mode. The 4,4′-bipyridine (bipy) ligands are highly twisted with respect to each other, the dihedral angle between the two pyridyl ring planes being 38.9 (2)°. The bipy ligands act as bridging ligands between [Cu(ClO4)2(2,2′-bpym)] (2,2′-bpym is 2,2′-bipyrimidine) units, generating an infinite one-dimensional zigzag chain along [010]. Intra- and intermolecular C—H...O hydrogen bonds are present in the crystal structure.