a mobius strip is strip piece of paper with a half twist in it. this means that it has only one side-you can draw a continous line (length-ways) around it and return to the start point, and when you turn it over you see that you have drawn on both "sides" of the paper.
now, what happens when you cut along the line?
4 edits
Originally posted by geniusA large loop with twice the diameter of the original strip.
...but that is cheating...
unfold the loops and what do you get?
(edit: with two full twists, just as Gastel said previously. Very good, Gastel.)
(Edits 2 and 3 for spelling and clarification.)
edit4:
Cut the "half-Mobius" in half again and get 2 linked loops with 2 full twists each.
Cut a Mobius in thirds and you make two linked loops, one with a half-twist and one with 2 full twists.
(Do you mind if I roast the arse of this question this mornin'?)