The Möbius strip is sheet of rectangular strip which is given a halftwist
with its ends attached. It has only one edge and only one surface.
It was invented by Augustus Ferdinand
Möbius (17901868), a German astronomer and mathematician in 1858. The
strip was also independently found by Johann Benedict Listing at about the same
time.
The Möbius strip
has found its use commercially. In fact, a conveyor belt based on
the Möbius strip has been patented
by B. F. Goodyear Co. This belt is claimed to lasts longer since the
useful surface of the strip is doubled.
The Möbius strip has the mathematical property of being nonorientable. A
Möbius strip can easily be created by taking a paper strip and giving it a
halftwist, and then joining the ends of the strip together to form a
single band. There are two types of Möbius strips classified
according on the direction of the halftwist: clockwise and
counterclockwise. The Möbius strip is therefore chiral, which is to
say that it is "handed".
More Mathematical Recreations
