Seven new coordination polymers, namely, [Zn(L)(bdc)]·2H₂O (1), [Zn(L)(2-NH₂-bdc)]·2H₂O (2), [Zn(L)(bdc)]·1.75DMF·0.5H₂O (3), [Zn(L)(oba)]·H₂O (4), [Co(L)(oba)]·H₂O (5), [Cd₂(L)₂(bdc)(NO₃)₂]·2DMF (6) and [Cd(L)(ndc)(H₂O)] (7) (L = 4-amino-3,5-bis(4-imidazol-1-ylphenyl)-1,2,4-triazole, H₂bdc = 1,4-benzenedicarboxylic acid, 2-NH₂-H₂bdc = 2-amino-1,4-benzenedicarboxylic acid, H₂oba = 4,4′-oxydibenzoic acid and H₂ndc = 1,4-naphthalenedicarboxylic acid), have been synthesized. The structures were determined by single-crystal X-ray diffraction analysis and further characterized by elemental analysis, IR, and thermogravimetric (TG) analysis. 1 and 2 feature a similar three-fold interpenetrating network combined with interdigitation which extends the structure into a three-dimensional framework. 3 is a two-fold interpenetrating framework showing intralayer porosity and interdigitation. Compounds 1 and 3 represent a pair of supramolecular isomers where structural motifs and different interpenetration modes exist; compounds 4 and 5 are isostructural and display the same three-fold interpenetrating framework where two types of interlaced triple-stranded helices A and B can be found. The triple-stranded helices with opposite chirality for each type are distributed in adjacent layers. Compound 6 exhibiting a unique simultaneous threading fashion of adjacent polymeric motifs gives the novel (2D → 3D) polythreaded array where coordinated NO₃⁻ anions act as the dangling ligands. Compound 7 is a 6-connected 3D self-penetrating network where right- and left-handed single-stranded helical chains (A^R and A^L) and interlaced triple-stranded helices (B^R and B^L) coexist. The luminescence properties of compounds 1–7 were also measured and discussed.