No, I already understand what mistake you're making.
>1. Where there's surface paint, that is the inner surface.
2. Where there's no surface paint, well guess what, that's the outer surface.
Sure, go ahead, make yourself a Mobius strip and try to paint it this way, without stopping anywhere except an edge. There is no way to do it--you'll end up painting both "surfaces" that you see locally. The only way to not do that is to arbitrarily stop somewhere, not at an edge (and you'll have to choose an arbitrary stopping point this way in both directions from wherever you start painting). It will not work the way painting an ordinary two-sided surface would, where you can indeed paint the entirety of one side, not stopping anywhere that is not an edge, and never reach the other side.
You simply do not seem to understand the actual properties of a Mobius strip. Which is strange to me, since you can make one yourself and test whatever claims you want to make. I have one sitting on my desk.
Comments
> I guess I have to make it extra simple.
No, I already understand what mistake you're making.
>1. Where there's surface paint, that is the inner surface.
2. Where there's no surface paint, well guess what, that's the outer surface.
Sure, go ahead, make yourself a Mobius strip and try to paint it this way, without stopping anywhere except an edge. There is no way to do it--you'll end up painting both "surfaces" that you see locally. The only way to not do that is to arbitrarily stop somewhere, not at an edge (and you'll have to choose an arbitrary stopping point this way in both directions from wherever you start painting). It will not work the way painting an ordinary two-sided surface would, where you can indeed paint the entirety of one side, not stopping anywhere that is not an edge, and never reach the other side.
You simply do not seem to understand the actual properties of a Mobius strip. Which is strange to me, since you can make one yourself and test whatever claims you want to make. I have one sitting on my desk.