mobius strip Definition and 20 Threads

As discussed in a recent thread, I'd ask whether any smooth section over a Mobius strip must necessarily take value zero on some point over the base space ##\mathbb S^1##. Edit: my doubt is that any closed curve going in circle two times around the strip is not actually a section at all. Thanks.

Can anyone explain the meaning behind a mobius strip? Basically just a means to travel on both sides of a flat surface? It's still a 3D object though since it uses 3D space for the twist to be possible?

Hi, starting from this (old) thread I'm a bit confused about the following: the transition function ##ϕ_{12}(b)## is defined just on the intersection ##U_1\cap U_2## and as said in that thread it actually amounts to the 'instructions' to glue together the two charts to obtain the Möbius...

How can the edge of a Möbius strip being projected on a 2 dimensional plane? Precisely the ending of this video: I just can get it since his animation goes by it so fast.

Why Mobius strip closed?Mobius strip is compact because it is confined and closed. But I can't understand closed of Mobius strip. Help please.

What is the relationship with the Mobius strip (or loop) and the 4 dimension? Is Mobius strip a four dimensional object?

Would the spin of a particle be measured the same by any set of observers upon that strip? Would an observer experience a reversal of spin if the particle traveled far enough along the strip?

I was bored, so I tried to do something to occupy myself. I started going through withdrawal, so I finally just gave in and tried to do some math. Three months of no school is going to be painful. I think I have problems. MATH problems. :-p Atrocious comedy aside, Spivak provides a parametric...

Hey I am having a little bit of difficulty. The classification theorem for 2 - manifolds tells me that every 2 -manifold has the following representation: 1) connect sum of n-tori 2) connect sum of n-projective planes 3) a sphere Now, using Massey's book there is a very algorithmic...

It does seem a shame if the previously discussed notion of mobius strip theory, as a modification of string theory, remains untenable. Perhaps some 'mobiusness' can still be adopted into the logic of string theory; it could serve as a visualizable explanatory model of one-handedness. Thoughts...

Hi all, i am not a physicist, but had a random thought the other day and wanted to find out whether there had ever been a similar theory as to the structure of the universe ?? Looking at solar systems and galaxies etc they seem to (in very basic terms) operate similarly to atoms, ie bits...

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Hi, I was pondering a bit about the mobius strips and I was wondering if there is a relationship between spinors and there transformation under rotations and that, in a manner of speaking, one must go around a mobius strip twice to return to the original position. To me it seems there would be...

Homework Statement I am given this parametrization of the mobius band: F(s,t) = (cos(t)+s*cos(t)*cos(t/2), sin(t)+s*sin(t)*cos(t/2), s*sin(t/2)) Let F1 be F restricted to (0,2*pi) X (-1,1). Let F2 be F restricted to (-pi,pi) X (-1,1). let N1 be the unit normal field determined by F1 let...

Say I pierce a paper Mobius strip with a pin and call the point on the side the pin entered the paper the point A and call the point where the pin comes through the paper the point B. In an idealized Mobius strip are these points different? Can they be the same? I would like a closed surface...

I don't really get what makes mobius strip so special? Yeah, sure you can get from one from of the strip to another without touching its boundary but so what? BTW, I am not saying the mobius strip is useless. I just want to know how it helps you get a deeper understanding of other dimentions.

I would welcome the parametric equations for an embedding in R3 of a locally Euclidean Möbius Strip without self intersections nor singularities and of Gaussian curvature equal to zero. That it exists in R3 is trivial to prove: just get a strip of paper of appropriate length and width, twist and...

Hi Does anyone know what a klein bottle and mobius strip is ??what does embedding a surface in R4 mean??Is there any easy way to understand this??..Can someone enlighten me on this??I have an engg background..So please explain in simple language.. Bye Shankar

Remember Phiysicist always say electron has a spin of 1/2; I can't remember how it was derived? But I noticed a mobius strip exihibit interesting attribute. Can we consider a mobius strip a spin 1/2 object?

I had originaly posted a thread on this theory in another forum, but I realize that it is better suited for this forum. In the attached file is a diagram of the string. In this string theory, strings are made of two opposite charges that exist within two extra dimentions. the dimentions have...