LAST UPDATE: 1/23/2001

The Mobius Strip Page

Welcome to the Mobius strip page!  For those of you who don't know what a Mobius stip is, the instructions are simple. Take a long strip of paper and tape the ends together, but in a special way. Give the paper a half-twist before taping it so that you end up taping the back side of the paper to the front side. The result will look something like this:

Or if you're using bright colored, rainbow graph paper, it will look like this:
[Mobius Strip]
The Mobius Strip has some very special properties because of this. For example, because you taped the back side to the front side, the Mobius Stip is a one sided object. Also, because you taped the top edge to the bottom edge, it is a one-edged object. It starts looking really interesting when you try to straighten out the single edge into the shape of a circle (don't try this with an actual piece of paper!).

Here are 3 views of the Mobius Strip with it's edge stretched into a circle:


[Mobius Strip]    [Mobius  Strip]    [Mobius Strip]

Here is an animation showing how this Mobius stip can be stretched back into a "normal" Mobius strip.


[Mobius Strip Animation]

For those of you who like 3-d stuff, here is a 3-d picture of the Mobius Strip you can see with 3-d glasses.


[3-d Mobius Strip]

And for more 3-d stuff, here is a stereoscopic animation of a similar "stretching" of the Mobius strip.


(View the 3-d stereoscopic image by diverging the eyes)
[Mobius Strip Animation]

Click here to see the Maple worksheet I used to create the circular-boundried Mobius Strip.

Here are 3 views of yet another Mobius Strip.


This Mobius Strip is special in that it has all of the surface inside of the circular boundry. In order to do this however, I needed to stretch part of the surface into the 4th dimension. (In the pictures below, I used color to represent the 4th dimension.)
[Mobius Strip]   [Mobius Strip]   [Mobius Strip]
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DISCLAIMER: THIS PAGE IS NOT A PUBLICATION OF THE GEORGIA INSTITUTE OF TECHNOLOGY AND THE GEORGIA INSTITUTE OF TECHNOLOGY HAS NOT EDITED OR EXAMINED THE CONTENT. THE AUTHOR(S) OF THE PAGE ARE SOLELY RESPONSIBLE FOR THE CONTENT.