the Moebius band

Try to generalize this, what happens if I cut the Moebius band along n evenly spaced lines parallel to the boundary.

this is the figure of it
http://www.maa.org/CVM/1998/01/tprpp...oebiusBand.gif
maybe we cannot get the whole answer ..

and could anyone tell me waht is topological space?

any help would be appreciated ,

My suggestion would be to grab some paper, glue and scissors. Make a few Mobius strips, and cut them, recording what you end up with in a table, then look for patterns in the table. For the first one, draw a line down the centre and cut along it. For the second, draw 2 lines along the strip and cut along them (it!! - you'll see what I mean!), etc.

Quote:

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Originally Posted by Debsta

My suggestion would be to grab some paper, glue and scissors. Make a few Mobius strips, and cut them, recording what you end up with in a table, then look for patterns in the table. For the first one, draw a line down the centre and cut along it. For the second, draw 2 lines along the strip and cut along them (it!! - you'll see what I mean!), etc.

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I see what u say, it will take long time but you are right this is the only way to solve this problem, thank you so much I really appreciate that.