A cylinder and a Möbius strip are not topologically equivalent because they have different properties regarding their boundaries and orientability. A cylinder has two distinct edges (boundaries) and is orientable, meaning it is possible to distinguish a "left" side from a "right" side. In contrast, a Möbius strip has only one edge and is non-orientable, meaning if you travel along its surface, you can end up on the "opposite" side without ever crossing an edge. These fundamental differences in structure prevent the two shapes from being transformed into one another through continuous deformation.
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They are mathematical oddities such as the Mobius strip.
It's called a mobius strip.
A mobius strip has only two sides. As for the general name for such a class of shapes there is none.
I guess you could say that a Mobius strip is a one-sided shape. Or a circle, because there are no corners or divisions where another side starts.
mobius strip
One can make a mobius strip very easily. First, cut a long strip of paper. Then tape the ends together in such a fashion as to create a mobius strip. If you simply tape the ends together normally, you will get a cylinder-shape. There would be two sides: one on the inside, and one on the outside. If you tape the ends together by flipping one end over (or giving it a half twist), you will get a shape that looks almost warped. On this shape, use a pencil to pinpoint a starting place. Then draw a line following the curves of the mobius strip. If the mobius strip has been made correctly, you will get back to your starting place. This is because the mobius strip is a one sided band.
He invented the Mobius Strip The Mobius Strip is a one sided surface. It is made my twisting a strip of paper and taping the two ends together.
The mobius strip was created in 1858 independently by August Fernandid Mobius and Johann Benedict Listing, two German mathematicans.
You will still have a mobius strip.
It was a mistake in the image placed there.
Karl Friedrich Gauss
According to www.answers.com, a mobius strip is a continuous one-sided surface that can be formed from a rectangular strip by rotating one end 180° and attaching it to the other end.
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The mobius strip.
1780
A Mobius strip.