“…Supramolecular network morphologies stemming from the self-assembly of molecular amphiphiles offer opportunities for the bottom-up construction of materials with applications including organic semiconductors and energy storage media, size-selective molecular separations membranes, membrane-bound protein crystallization platforms, , and internally structured lipid nanoparticles for therapeutic delivery. , Exemplified by functional bicontinuous double gyroid (DG), double diamond, and other periodic networks, applications of these materials crucially depend on their interpenetrating, labyrinthine nanochannels with tailored chemical constitutions and physical properties. These intricate self-assembled structures are known to arise from thermotropic self-assembly of various liquid crystal (LC) mesogens comprising chemically dissimilar segments of widely varied structures, including polycatenars, rod-like polyphiles, , wedge-shaped molecules, disk-like molecules, bolamphiphiles, , and glycolipids. − However, these thermotropic phases often form only with restricted molecular compositions and in narrow thermal stability windows, since the negative Gaussian (“saddle splay”) curvature microdomain interfaces of these assemblies exhibit substantial mean curvature deviations that result in molecular packing frustration. − The lack of robust molecular designs that drive mesoscale network self-assembly substantially curtails exciting current and future applications of these nanostructures.…”