Strip 4 You
A Möbius strip made with a piece of paper and tape. The Möbius strip or Möbius band (pronounced /ËmøbiĘs/) is a surface with only one side and only one boundary component. It has the mathematical property of being non-orientable. 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. Mark and Kristofer's Song to a Former Lover 5. The Möbius strip is therefore chiral, which is to say that it is "handed".
Properties
The Möbius strip has several curious properties. If you try to split the strip in half by cutting it down the middle along a line parallel to its edge, instead of getting two separate strips, it becomes one long strip with two half-twists in it (not a Möbius strip). If you cut this one down the middle, you get two strips wound around each other. Alternatively, if you cut along a Möbius strip about a third of the way in from the edge, you will get two strips; one is a thinner Möbius strip, the other is a long strip with two half-twists in it (not a Möbius strip).