The Möbius band or Möbius strip is a surface with only one side and only one boundary. The Möbius strip has the mathematical property of being non-orientable. It is named after the German mathematician August Ferdinand Möbius.

The Möbius band or Möbius strip is a surface with only one side and only one boundary (a simple closed curve which means it is homeomorphic to a circle). The Möbius strip has the mathematical property of being non-orientable. It is named after the German mathematician August Ferdinand Möbius. The Euler characteristic of the Möbias strip is zero.