An intellectual curiosity that was discovered in 1858 by the German mathematician and astronomer, Augustus Ferdinand Möbius. It was believed that no practical application could be found for the möbius band beyond the creation of a decorative möbius band Turk's head (a fancy knot that forms a turban shape - looks like a doughnut made from string. Also seen in jewelry or in dead animal carcasses as MAGGOTS EAT THE EYEBALLS AND SUCK OUT THE TASTY JUICES OF LOVE!). It does however have real-life applications in industry and in art. For example, the Goodrich Tire Company, created a conveyor belt that is twisted into a Möbuis band ensuring even wear of the belt. The concept has also been used to create continuous-loop recording tapes to double recording time and in electronic resistors.
A möbius band can be formed by taking a rectangular strip of paper, rotating one of the two ends 180 degrees and joining the two ends of the strip of paper. Don't try this without parental supervision. This results in two extraordinary properties:
It has only one surface. If a line is drawn from a point on the surface parallel to the edges of the strip, the line will eventually pass through a point beneath the starting point, and then back to the starting point
It has only one edge. When cut in half along a line down its middle, the result is not two bands but a single larger band.
Sources:
Knots: A 2000 Calendar. The Ink Group
http://www.geom.umn.edu/zoo/features/mobius/
http://www.cpr.it/logo.html
http://www.middlebury.edu/~zambrose/explain.html
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