A Möbius strip is a one-sided surface formed by gluing together two opposite edges of a strip of paper after twisting one of the edges 180 degrees. The Möbius strip was named after the German mathematician and astronomer August Ferdinand Möbius, one of the pioneers of the mathematical field known as topology, which concerns the properties of shape that do not change when an object is stretched or bent without being torn. Möbius investigated the curious properties of the Möbius strip in 1858, in connection with a question about the geometry of polyhedra posed by the Paris Academy. Most historians agree, however, that Möbius was not the first to discover the strip named after him: by coincidence, the German mathematician Johann Benedict Listing also discovered the Möbius strip in 1858, edging...