“…Complex nanostructured supermolecular systems build the basis of biological evolution as well as new materials . Therefore, the fundamental understanding of the formation of such systems by simple molecules, especially the development of structural complexity − and emergence of chirality, − is of importance. Emergence of chirality and amplification of asymmetry by spontaneous helix formation were well investigated in the crystalline and solution aggregated states of chiral and achiral C 3 symmetric benzene-1,3,5-tricarboxamides − and related compounds. − ,− However, for achiral molecules, at the transition to the liquid crystalline (LC) state, supermolecular chirality is typically lost in the one-dimensional (1D) columnar assemblies due to emerging helix inversion defects. − Network formation by three-dimensional branching of the columns can remove these defects and synchronize the chirality in these network phases with cubic symmetry (bicontinuous cubic phases, Cub bi ) and even, in some cases, in the isotropic liquid mesophases occurring adjacent to them. − The Cub bi phases have also attracted significant attention due to their structural complexity and importance in biological structures, − as well as for various applications, including ion transportation, catalysis, drug delivery, organic electronic devices, and energy conversion. ,− The double network Cub bi phase with an Ia 3̅ d space group, known as the double gyroid, and a second one with an I 23 space group and triple network structure (Figures and S1) are often observed for achiral rodlike π-conjugated molecules with at least two or more terminally attached flexible chains (polycatenar molecules). − …”