The self-assembly of coordination networks from reaction of 2,4,6-trimesityl-1,3,5-triazine and silver(l) trifluoroacetate is described. A one-dimensional linear polymer is formed from solutions deficient in silver while a two-dimensional, graphite-like sheet is formed from solutions containing 3 equiv of silver per triazine. The structurally similar networks both contain triazine rings separated by two trifluoroacetate-bridged silver atoms. The two silver atoms are effectively sandwiched between two mesityl rings with intermediate arene-silver interactions. The silver-silver bond lengths are 2.9731(4) and 2,9246(5) Angstrom in the one-dimensional network and 2,8842(4) Angstrom in the two-dimensional network.