Скачать или смотреть Orientable vs Non-Orientable Surfaces and the Mobius Strip

One property that a surface may or may not have is orientability. Loosely, this means it has two distinct sides. For example the surface of a sphere has an inside and an outside, but a Mobius Band only has one side. More specifically, a surface is orientable if we can continuously assign a field of normal vectors, which is like choosing one of the two sides. This is going to be useful for us in Vector Calculus as we will be talking about the flux across a surface from one side to the other, and so we will want to restrict to be talking about orientable surfaces.

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