The Möbius strip or Möbius band is a surface with only one side and only one boundary component.
It has the mathematical property of being non-orientable.
It is also a ruled surface.
It was co-discovered independently by the German mathematicians August Ferdinand Möbius and Johann Benedict Listing in 1858.
A model can easily be created by taking a paper strip and giving it a half-twist, and then merging the ends of the strip together to form a single strip.
In Euclidean space there are in fact two types of Möbius strips depending on the direction of the half-twist: clockwise and counterclockwise.
The Möbius strip is therefore chiral, which is to say that it is "handed".