Soap films are the physical system that gave rise to the mathematical subject of minimal surfaces; their surface energy is proportional to the surface area. With their faceted structure, these surfaces share the beauty of both crystals and soap films. Taylor communicates her great enthusiasm for the subject as she presents a variety of results and pictures. Audiences having a background at the level of an advanced undergraduate in mathematics will enjoy this presentation, and it will be of interest to physicists and engineers. (Boulder, CO, 1989)