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:
“See how peaceful it is here. The sea is everything. An immense reservoir of nature where I roam at will.... Think of it. On the surface there is hunger and fear. Men still exercise unjust laws. They fight, tear one another to pieces. A mere few feet beneath the waves their reign ceases, their evil drowns. Here on the ocean floor is the only independence. Here I am free.”
—Earl Felton, and Richard Fleischer. Captain Nemo (James Mason)
“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)
“In Manhattan, every flat surface is a potential stage and every inattentive waiter an unemployed, possibly unemployable, actor.”
—Quentin Crisp (b. 1908)