Highly symmetric bicontinuous cubic phase structures have remarkable surface topologies relating to mathematical minimal surfaces, comprising negative Gaussian curvature as a result of regions of principal curvatures of opposite sign, while their mean curvature equals zero. [12] From these complex intertwined structures, advantageous transport properties arise due to the continuous interpenetrating networks that can span macroscopic lengthscales without the requirement for alignment. [13,14] A significant number of amphiphiles of biological origin (i.e., membrane lipids) readily self-assemble into bicontinuous cubic phases [15,16] that are exploited in several intercellular processes, [17] thus inspiring the design of LC-based materials. [18] Phase behavior of lyotropic liquid crystals (LLCs) is often rationalized by the packing parameter, which describes the ratio of the hydrophobic volume occupied by the tails to the polar hydrophilic headgroup area within a lipid [19] although the introduction of charged groups may complicate predictions. Targeting a specific LC phase generally requires a priori design of an amphiphilic mole cule with distinct combinations of head and tail groups. However, design rules for obtaining bicontinuous cubic morphologies from synthetic systems are, despite their frequent observation in twin-tail "gemini" surfactants [7,20,21] and polycatenar-based compounds, [22,23] lacking universal understanding.An encouraging route to unraveling the physicochemical principles pertaining to custom-designed bicontinuous cubic structures can be conceived by exploiting so-called "lipidoids," [24][25][26] which mimic biological lipids in terms of their self-assembly and other functional properties. Cationic lipidoids have become synonymous with gene delivery vectors, [24,[27][28][29][30][31] potently demonstrated by their utility in vaccines developed against COVID-19. [32,33] Gene delivery applications also benefit from the ability of the supporting amphiphiles to form bicontinuous cubic phases. [34,35] High-throughput screening studies of lipidoid libraries have often been employed to elucidate the effect of lipid molecular structure on gene transfection efficacy. [24,27,28,30] Although combinatorial synthetic approaches have been applied to the fundamental design of thermotropic LCs, [36,37] high-throughput approaches to lyotropic LC Bicontinuous cubic phases offer advantageous routes to a broad range of applied materials ranging from drug delivery devices to membranes. However, a priori design of molecules that assemble into these phases remains a technological challenge. In this article, a high-throughput synthesis of lipidoids that undergo protonation-driven self-assembly (PrSA) into liquid crystalline (LC) phases is conducted. With this screening approach, 12 different multi-tail lipidoid structures capable of assembling into the bicontinuous double gyroid phase are discovered. The large volume of small-angle X-ray scattering (SAXS) data uncovers unexpected design criteria that enable phase sele...