Hey folks, I'm not certain if this is the right board to put this in(I couldn't figure where else itd go). I've been thinking about the Klein bottle and had a curious thought. Since the 'bottle' is a 4d object with only one face, it can be navigated in its entirity via two dimensions. You can walk on the surface and visit every point(Yes I know this is generally understood), but what would that look like? The way I see it is that it's basically a torus in 4d, so on the inside it's constantly the same, so at some points walking in a direction would create absolutely no change in perspective leading to the assumption that no movement has been made. While movement in the parallel direction would shift the entire perceived shape of the 'bottle', without changing the property that walking in the first direction causes no change. If I'm explaining this well; does it make sense and do you agree with it? If I'm not explaining this well; How would you imagine it would look to a 3d being, navigating a 4d Klein bottle by moving in 2 dimensions?