Difference between revisions of "Mobius strip"
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The shape was independently discovered by [[German]] [[mathematicians]] [[August Ferdinand Möbius]] and [[Johann Benedict Listing]]. | The shape was independently discovered by [[German]] [[mathematicians]] [[August Ferdinand Möbius]] and [[Johann Benedict Listing]]. | ||
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| + | [[Topology|Topologically]], it is one of the two possible [[quotient]]s of a [[rectangle]]; the other is a [[torus]]. | ||
[[category:geometry]] | [[category:geometry]] | ||
Revision as of 23:26, July 14, 2008
A Möbius strip is a one-sided shape. It is formed by taking a thin strip of material, twisting a section 180 degrees, and making the two ends touch. Despite being one sided, the object does, in fact, still exist in three dimensions.
The shape was independently discovered by German mathematicians August Ferdinand Möbius and Johann Benedict Listing.
Topologically, it is one of the two possible quotients of a rectangle; the other is a torus.