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:
“I cannot but conclude the bulk of your natives to be the most pernicious race of little, odious vermin that Nature ever suffered to crawl upon the surface of the earth.”
—Jonathan Swift (1667–1745)
“In Manhattan, every flat surface is a potential stage and every inattentive waiter an unemployed, possibly unemployable, actor.”
—Quentin Crisp (b. 1908)
“The surface of the ground in the Maine woods is everywhere spongy and saturated with moisture.”
—Henry David Thoreau (1817–1862)