Patrick's Response

The mobius strip is a theoretical one sided object however in reality it is three dimensional. In order for me to picture the situation I simply thought of a true one dimensional object; a line. If a hole is poked through the center of a one sided object where would the other side go? I believe that this is impossible to even imagine because in order to poke a hole through a 1D object you would have to be in either 2 or 3 dimensions in order to lift the pin above the paper and poke through it. Because it is impossible to do this I would say that a one sided object would not only be impossible to obtain but also equally impossible to poke a hole in because one dimension is one dimension. The hole wouldn't exist because nobody would be able to make a hole in a true one dimensional object.

While playing around with the mobius strip model, and spinning it through my fingers i watched the hole go around alternating views (oneside of my paper was blank, the other had writing). I agree that this object is theoretically one sided. In terms of where the hole leads, I am not completely sure. Part of me thinks it doesn't lead anywhere, but is rather a simple puncture in the structure, or perhaps does lead somewhere, I am unsure of. From what I know about wormholes I feel that the mobius strip, as a one sided object does represent a wormhole, in the sense that a hole of a one sided object is capable of leading to an alternate demension/side.

Brad

All mobius strips are actually two sided - the main side and the edge. While smaller that the other side, the edge still has 2 dimensions, making it a side. If we were to assume that this edge were infinitely thin, a problem occurs; we would not ever be able create this mobius strip, as the stated criterion are inherently impossible. If the mobius strip is not a one-sided shape, there is no need to explain the hole - it simply tunnels through one surface to reach another connected surface. This is not a wormhole, unless it has indeed been created by a worm (in which case we have bigger issues.)

It is therefore my beleif that the mobius strip hole is nothing more than a simple hole, a tunnel that has been forced by the geometry of the shape to be "bent" (from the frame of reference of the shape itself.) The confusion is meerly a weakness in our abililty to explain such a phenomenon in scientific terms.

Mobius strip question

If one takes a strip of paper, puts one twist in it, and reconnects the ends, you have created a mobius strip. This is a theoretically one sided object; test this by making one and drawing a line around it if you want. Now, the weirdness ensues when you punch a hole through it. Since the mobius strip is one sided the hole cannot lead to the other side. So where does it lead? Is this an accurate representation of a wormhole? Post and defend your opinions.