Computational methods have given fresh impetus to the mathematics of minimal surfaces and its applications. In particular the theory of liquid foams, which has its roots in the work of Plateau in the 19th century, has been greatly advanced. The Surface Evolver software developed by Ken Brakke and others has been particularly valuable. The subject remains a fertile ground for interaction between pure and applied mathematicians, physicists and engineers, using mathematical analysis and extensive simulations. In addition to the further analysis of equilibrium foam structure, physical...