In this talk, we exploit the programmability of DNA to design passive, self-assembled networks. The fundamental element in our networks is a branched, crosslinking nanostructure known as a DNA nanostar whose design determines the ideal valence, or maximum number of filaments that meet at a single node, of the gel. Using conventional bulk rheology techniques, we attempt to isolate the effects of valence on mechanics in the network and determine possible structures to explain the observed behavior.