Reaction of AgClO4 with a bulky semi-flexible tripodal ligand 2,4,6-tris(4-((pyridin-4-ylthio)methyl)phenyl)-1,3,5-triazine (tppt) affords highly undulating (6,3) honeycomb networks [Ag3(tppt)2](ClO4)3·8DMSO which display unusual net entanglement. Three (6,3) nets interweave in parallel to give rise to a 3-fold interpenetrating basic layer (2D → 2D parallel). In addition, every such layer interlocks four other layers, two above and two below (2D → 3D parallel). Therefore, totally fifteen (6,3) nets are involved in entanglement with respect to each basic layer, in which each single (6,3) net shows 11-fold interpenetration and 5-fold catenation, thus resulting in a novel 3D coordination polymer containing both interpenetration and polycatenation.