“…The phase transition quantization exemplifies in a remarkable manner how confinement can alter the physics of liquid crystals [14,18,25,31,32,[52][53][54][55][56][57][58][59][60][61][62][63] and allows us to determine the otherwise hard to access bend elastic constant [64]. More generally, it highlights how curved geometries can alter self-assembly and crystallization [14,23,24,65,66] and how versatile soft matter can adapt to extreme spatial constraints with new architectural principles dynamics, as has been similarly discussed for simple molecular [38,[67][68][69] and polymeric systems [70][71][72][73][74][75]. Finally, we envision that the spontaneous, temperature-tunable nanoscale ring formation demonstrated here along with the one-dimensional charge carrier pathways and mechanical stability of the membranes may provide a versatile playground for the study of electronic and magnetic confinement effects [76] or even of the fluid-wall-interaction-induced deformations of nanopores [77].…”