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:

    “There’s something tragic in the fate of almost every person—it’s just that the tragic is often concealed from a person by the banal surface of life.... A woman will complain of indigestion and not even know that what she means is that her whole life has been shattered.”
    —Ivan Sergeevich Turgenev (1818–1883)

    “It was a pretty game, played on the smooth surface of the pond, a man against a loon.”
    —Henry David Thoreau (1817–1862)

    “A novelist is, like all mortals, more fully at home on the surface of the present than in the ooze of the past.”
    —Vladimir Nabokov (1899–1977)