Moebius Strip II by M. C. Escher. These ants illustrate the counterintuitive properties of the Möbius band – an ordinary band with a half-twist. All are on the one side but appear to be on opposite sides. A band made with two half-twists does have two sides. The number of twists dictates the number of sides and dramatically affects the result produced by cutting along the middle. Topology allows the exploration and description of such spatial relationships..