Definition:Möbius Strip

Definition
A Möbius strip is a surface with boundary obtained by twisting a side of a rectangle by $180$ degrees, then joining the twisted side and the opposite side of it together.


 * MobiusStrip.png

Thus in the above diagram, $AB$ is identified with $CD$.

Also known as
Some sources (particularly American) use the term Möbius band on the grounds that the word strip may be considered inappropriate language to use in front of children and adolescents.

Also see

 * Möbius Strip has Euler Characteristic Zero