Valhalla Legends Archive

I am talking about the physical model, how can it have a thickness if it only has one side?

Quote from: CupHead on October 23, 2003, 11:30 AM
I am talking about the physical model, how can it have a thickness if it only has one side?

The physical model doesn't have one side. Ergo,

QuoteThe physical model will exist in 3 dimensions and have a positive thickness.

Um...  Explain how it has two or more?

say you had a moebius strip constructed out of a tube. originally how many sides did the tube have ? i don't see how it should be different once you construct a moebius strip. cuphead you said you don't understand how there can be one side on a 3-dimensional object, and tubes are 3 dimensional, with 1 surface to begin with, so that category shouldn't apply. if it was originally created by a tube, logic should tell you it'd result in one side. if it has no 'thickness' then it wouldn't be 3 dimensional, so that's excluded too. if you started with a rectangle, it wouldn't be a 1 sided shape, it'd have 2 sides.

Since no one can seem to comprehend this:



First of all, we can plainly see that the tube has all three dimensions, not just one surface.  I have no idea where you got that from.  Next to it is a piece of tape, or paper, from which to make a Moebius strip.  Clearly, it has a front and a back, no?  However, when fashioned into a Moebius strip, one of those sides disappears, thus losing it a dimension.  Explain that.

cup, we know there are 3 dimensions. when you make the tube into a torus it has more than 1 surface ?? i'm revising

And simultaneously making no sense.

i'm telling you you wouldn't use a tube or a 1 dimensional object with no 'thickness' to make a moebius strip in the first place, so forget them.

Here's what a moebius strip, constucted of a material with no width, would look like:

He seems to have a built-in assumption that something with 1 face cannot exist in 3 dimensions, which is why I brought up a sphere, or much closer to his mobius--a donut.  Both only have one face and exist in 3 dimensions.

Grok: Assume they're hollow.  They now have two surfaces.  This is an object without any sides, just one continuous surface.

Aha, you just proved my point.

Why can't the mobius strip be hollow as well?  The physical mobius strip has a thickness, and thus can be hollow.  This is why I'm equating it to a donut.

Grok, it can't be hollow because there aren't two sides between which it can be hollow.  It only has one side.

Quote from: CupHead on October 23, 2003, 04:22 PM
Grok, it can't be hollow because there aren't two sides between which it can be hollow.  It only has one side.

I'm pretty sure that anything with a positive thickness could theoretically be hollow.

If it doesn't have two sides, how does the thickness exist?