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:
“All beauties contain, like all possible phenomena, something eternal and something transitory,—something absolute and something particular. Absolute and eternal beauty does not exist, or rather it is only an abstraction skimmed from the common surface of different sorts of beauty. The particular element of each beauty comes from the emotions, and as we each have our own particular emotions, so we have our beauty.”
—Charles Baudelaire (1821–1867)
“Puritanism, in whatever expression, is a poisonous germ. On the surface everything may look strong and vigorous; yet the poison works its way persistently, until the entire fabric is doomed.”
—Emma Goldman (1869–1940)