Hosted by Professor Tim David of the University of Canterbury, New Zealand, this program concisely presents the basic concepts of topology. After a brief introduction involving the four-color theorem, Professor David compares the elastic deformations of various geometric figures to determine equivalence, making use of fixed points and point sets affected by surface transformation. The discussion is facilitated by simple yet stylish computer animation, and prepares the viewer to answer a particularly challenging final question: can a Mobius strip be proven equivalent to other configurations? Produced by the Open University. (30 minutes)