KOSEKOMA 0164 - Torus of Doubly Twisted Strips (p=2,n=32,d=15cm). Möbius strip or Möbius band is a surface with only one side and only one boundary. The Möbius strip has the mathematical property of being non-orientable. It can be realized as a ruled surface. It was discovered independently by the German mathematicians August Ferdinand Möbius and Johann Benedict Listing in 1858