# the Moebius band

• Oct 27th 2009, 07:29 PM
koko2009
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 ,
• Oct 27th 2009, 09:11 PM
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.
• Oct 27th 2009, 09:56 PM
koko2009
Quote:

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.

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.