A Möbius strip is a surface formed by joining the two ends of a strip of paper together with a half-twist, first identified as a mathematical object independently by August Ferdinand Möbius and Johann Benedict Listing in 1858. It has only a single boundary curve rather than the two edges an ordinary loop of paper has, and it has only one side: an object sliding along its surface returns to its starting point as a mirror image of itself. Like the Klein bottle, the Möbius strip is non-orientable, so no consistent notion of clockwise and counterclockwise can be defined across its whole surface.
Facts
FAQs
Has the Möbius strip been used for anything practical?
A patented conveyor belt took its form and was reported to last twice as long as conventional belts.
Yes. Wolfram MathWorld reports, citing Madachy (1979), that the B. F. Goodrich Company patented a conveyor belt in the form of a Möbius strip, which lasts twice as long as conventional belts. The shape has also inspired artists: M. C. Escher was fond of portraying Möbius strips, and they appear in his woodcuts Möbius Strip I and Möbius Strip II (Red Ants).
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Source Möbius Strip (Wikipedia)
Source Möbius Strip (Wikipedia)
In Branch
Source Möbius Strip (Wikipedia)
Is Kind Of Object
Sources
1. Möbius Strip (Wikipedia)
Wikimedia FoundationLead section
In mathematics, a Möbius strip, Möbius band, or Möbius loop is a surface that can be formed by attaching the ends of a strip of paper together with a half-twist.
- In Branch: Topology
Attributed To: Johann Benedict Listing, Lead
The discovery of the Möbius strip as a mathematical object is attributed independently to the German mathematicians Johann Benedict Listing and August Ferdinand Möbius in 1858.
Attributed To: August Ferdinand Möbius, Lead
The discovery of the Möbius strip as a mathematical object is attributed independently to the German mathematicians Johann Benedict Listing and August Ferdinand Möbius in 1858.
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