Immersed in Klein Bottles
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|Ivars Peterson (MathTrek)|
|"Need a zero-volume bottle? Searching for a one-sided surface? Want the ultimate in nonorientability?" The intriguing subject of these cryptic entreaties is a bizarre mathematical object known as a Klein bottle, discovered in 1882 by German mathematician Felix Klein (1849-1925). An ordinary bottle has an inside and an outside. To walk from the inside to the outside, a fly would have to cross the lip that forms the bottle's mouth. A Klein bottle has no such edge. What appears to be its inside is continuous with its outside.|
|Levels:||High School (9-12), College|
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