Some interesting questions about surfaces have been studied mathematically for centuries. For example, in 1772 Euler characterised the surfaces that can be covered with paper, allowing bending but not stretching, cutting or wrinkling. For cloth in place of paper, it would be a different question, as cloth is more flexible, and that was answred by Chebyshev in 1878.
In this talk we shall see how a ball can be clothed. The modern developments and unsolved problems on the theme will be discussed, through a blend of theory, applications, and pictures.