Studies of the physical properties of the cocured networks formed from three similar dicyanate ester monomers revealed a number of unexpected variations from simple linear mixing rules. These variations shed light on important synergistic effects in cocured thermosetting networks and their possible causes. The monomers utilized were the dicyanate esters of Bisphenol A (BADCy) and Bisphenol E (LECy) and the silicon-containing analogue of Bisphenol A (SiMCy). The most important of the synergistic effects was a decrease of ∼25% in moisture uptake seen only in conetworks of LECy and SiMCy. For all other systems, a clear relationship between moisture uptake and the number density of cyanurate rings was observed. This relationship generally applies to many types of cyanate esters and gives an indication of the importance of specific sites (as opposed to free volume alone) in moisture uptake. Numerous additional examples of nonlinear mixing relations were observed in the glass transition temperature, density, and thermochemical stability of fully cured networks. Interestingly, the most widespread deviations from linear behavior were observed for conetworks of SiMCy and LECy, suggesting that factors such as the mismatch in network segment size may be more important than differences in flexibility or symmetry in driving significant physical interactions among conetwork components.