New tetranuclear supramolecular precursors [(R-C[triple bond, length as m-dash]C-C[triple bond, length as m-dash]C)Ag(PPh3)]4 (R = iPr and chx) are employed to construct three polynuclear silver(i) alkyl-1,3-diynyl cluster complexes (1-3) that bear the same novel trigonal bipyramidal Ag5 core consolidated by silver-ethynide and argentophilic interactions. The present results strongly suggest that the assembly of high-symmetry medium-nuclearity clusters 1-3 is initiated by the accretion of additional Ag(i) ions by the Ag4 template of the precursors through argentophilic (<3.4 Å) interaction, and demonstrate that core transformation is an effective synthetic route to high-symmetry metal clusters.