Spontaneousd evelopment of chirality in systems composed of achiral molecules is important for new routes to asymmetricsynthesis, chiral superstructures and materials, as well as for the understanding of the mechanisms of emergence of prebiotic chirality.H erein, it is shown that the 4,4'diphenylbenzil unit is au niversal transiently chiral bent building block for the design of multi-chained (polycatenar) rod-like molecules capable of forming aw idev ariety of helically twisted network structures in the liquid,t he liquid crystalline (LC) and the crystalline state. Single polar substituents at the apex of tricatenar molecules support the formation of the achiral (racemic) cubic double network phase with Ia3 d symmetry and relatively small twist along the networks. The combination of an alkyl chain with fluorine substitution leads to the homogeneously chiral triple network phase with I23 space group, and in addition, provides am irror symmetry broken liquid.R eplacing Fb yC lo rB rf urtheri ncreasest he twist,l eading to as hort pitch doubleg yroid Ia3 d phase, which is achiral again. The effects of the structural variations on the network structures, either leading to achiral phases or chiral conglomerates are analyzed.