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 have passed down the river before sunrise on a summer morning, between fields of lilies still shut in sleep; and when, at length, the flakes of sunlight from over the bank fell on the surface of the water, whole fields of white blossoms seemed to flash open before me, as I floated along, like the unfolding of a banner, so sensible is this flower to the influence of the sun’s rays.”
—Henry David Thoreau (1817–1862)
“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)
“It was a pretty game, played on the smooth surface of the pond, a man against a loon.”
—Henry David Thoreau (1817–1862)