Cubosomes and hexosomes are stable dispersions of lyotropic liquid crystalline mesophases (LLCs), and are prime examples of such higher-order structures, with unique properties closely related to their morphology. Cubosomes, consisting of stabilised particles of lipid bilayers draped over minimal surfaces (primitive, diamond, gyroid), have recently been the focus of several important publications focused on their potential as drug delivery vehicles. Their highly curved internal structure has been shown to undergo fusion via lipid incorporation with model membranes, as well as facilitating improved loading of hydrophobic, lipophilic and fragile biomolecular cargo such as mRNA. Hexosomes are soft nanoparticles with internal structures comprising of hexagonally packed lipid tubules with 2D symmetry. They have also been proposed as drug delivery vehicles capable of sustained release, their tightly wound tubular structures acting as barriers through which cargo must pass. Existing methods for LLC fabrication consist of high-energy shearing techniques like probe sonication and high-shear mixing. Arduous optimisation steps are required in both, offering very little control over nanoparticle size, known to be a crucial variable for most envisaged applications. While polydispersity indices (PDI) of generated particles below 0.2 can be achieved (a general requirement in industry), batch-to-batch variation is difficult to avoid. Sonication in particular has reduced scalability, associated health hazards, and is largely unsuitable for the simultaneous encapsulation of fragile biomolecules (including mRNA, DNA and proteins), sensitive to high temperatures, pressures, and mechanical forces. Considering the wide-spread interest in biomolecular therapeutics, this is a major impediment.