system
Given the following post, respond as if you're commenting on Reddit:
human
How many dimensions is a Mobius strip? What about a Klein Bottle?

Are Möbius Strips two-dimensional or three? Mathematically you’re taking a two-dimensional plane and twisting it, does this not give it a third dimension? If so does that mean Klein Bottles are four-dimensional?
gpt
The Möbius strip and Klein bottles are both two-dimensional. They can be embedded in three and four dimensions respectively (and any space that includes those, such as higher dimensional Euclidean spaces), but the ambient space is *not* part of the actual manifold.

The Klein bottle can also be immersed (not embedded) in three dimensions.