Surface

Surface

In mathematics, specifically in topology, a surface is a two-dimensional topological manifold. The most familiar examples are those that arise as the boundaries of solid objects in ordinary three-dimensional Euclidean space R3 — for example, the surface of a ball. On the other hand, there are surfaces, such as the Klein bottle, that cannot be embedded in three-dimensional Euclidean space without introducing singularities or self-intersections.

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Famous quotes containing the word surface:

    How easily it falls, how easily I let drift
    On the surface of morning feathers of self-reproach:
    How easily I disperse the scolding of snow.
    Philip Larkin (1922–1986)