  We present the novel method for generation of periodic surfaces based on the
simple Landau-Ginzburg model of microemulsion. We test the method on four
minimal surfaces (P,D,G, and I-WP), find two new surfaces of cubic symmetry,
show how to obtain periodic surfaces of high genus and n-tuply-continuous
phases. We point that the Landau model used here should be generic for all
systems characterized by internal interfaces, including the diblock copolymer
systems.
