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2006-08-04 13:49:24 · 9 answers · asked by Goat 2 in Science & Mathematics Mathematics

9 answers

A mobius strip : is a surface with only one side and only one boundary component.

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. The Möbius strip is therefore chiral, which is to say that it is "handed".

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). Other interesting combinations of strips can be obtained by making Möbius strips with two or more flips in them instead of one. For example, a strip with three half-twists, when divided lengthwise, becomes a strip tied in a trefoil knot. Cutting a Möbius strip, giving it extra twists, and reconnecting the ends produces unexpected figures called paradromic rings.

2006-08-04 14:44:09 · answer #1 · answered by M. Abuhelwa 5 · 1 0

One

2006-08-04 14:24:32 · answer #2 · answered by Rick Blaine 2 · 0 0

In theory, just one. If you make one from a strip of paper, then it has two as the paper is not really two dimensional.

2006-08-04 13:55:14 · answer #3 · answered by T 2 · 0 0

One side two edges

Yours: Grumpy

2006-08-04 13:54:16 · answer #4 · answered by Grumpy 6 · 0 0

Only one, if this is a real one (which involves it being made of a zero thickness material)

2006-08-04 13:54:23 · answer #5 · answered by Vincent G 7 · 0 0

Actually, Grumpy is wrong...it has one side and one edge.

2006-08-04 13:58:15 · answer #6 · answered by mathematician 7 · 0 0

One side, one edge

2006-08-04 15:10:32 · answer #7 · answered by Joe S 2 · 0 0

one.

2006-08-04 13:52:50 · answer #8 · answered by peaceful_sorceress 2 · 0 0

1.5

2006-08-04 16:40:10 · answer #9 · answered by kc 2 · 0 0

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