Here's how you make a not-so-typical piece of paper.

(except it doesn't have to be blue.) | |

Now see if you can find the "other side"... the side without a line on it. You won't find the other side, because there isn't one! | |

But since you drew only one continuous line, there must be only one edge! |

Now think about what would happen if you cut down the center of your Mobius strip. An ordinary paper ring cut in half would give you two seperate rings, right? However, if you cut down the center of a Mobius strip, instead you end up one ring twice as large as the original!

For another (different) unexpected result, try cutting the strip one-third of the distance from the edge. I won't discuss what happens here... from experience I have found that it is more enjoyable to be suprised. So have fun!

One last amusement... the ants below are walking on a Mobius strip. So even though one ant may be above or below another, they are still on the same side!