Orientable Surface

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orientable surface [‚ȯr·ē‚en·tə·bəl ′sər·fəs]

(mathematics)

A surface for which an object resting on one side of it cannot be moved continuously over it to get to the other side without going around an edge.

Orientable Surface

a surface that can be oriented. An orientable surface is the opposite of a nonorientable surface. On a nonorientable surface, for example, a Möbius band, there always exist closed curves such that the orientation of a small neighborhood of a point moving along the curve is reversed when the entire curve is traversed. The projective plane is an important example of a closed nonorientable surface.

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