The solvothermal reaction of AgCN with 2-tptz (2-tptz=2,4,6-tri(2-pyridyl)-1,3,5-triazin) afforded a 3D coordination polymer [(AgCN) 3 (2-tptz)] n (1). It was characterized by infrared spectroscopy, elemental analysis and X-ray single-crystal analysis. The structure of this polymer features a 2D wavelike [AgCN] n substructure constructed from 18-membered of Ag 6 (CN) 6 rings and 22-membered of Ag 8 (CN) 6 C 2 rings. When silver⋯sliver interactions are taken into account, the structure of 1 exhibits a (3·8·9)(4·8·9)(3·4·8·9 3 )(3·8·9 2 ·10 2 ) topological network which has not been reported for the (3,4)-connected nets. The photoluminescent property of the present coordination polymer was also investigated.