I. Visualizing Mathematics.- The Minimax Sphere Eversion.- Exploring Plane Hyperbolic Geometry.- Visualizing Nonlinear Electrodynamics.- The Use of Computer Graphics for Solving Problems in Singularity Theory.- What Should a Surface in 4-Space Look Like?.- Animation of Algebraic Surfaces.- II. Geometric Algorithms and Experiments.- Using Symmetry Features of the Surface Evolver to Study Foams.- Constant Mean Curvature Surfaces Derived from Delaunay's...