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:

    Just under the surface I shall be, all together at first, then separate and drift, through all the earth and perhaps in the end through a cliff into the sea, something of me.
    Samuel Beckett (1906–1989)

    Bees
    Shaking the heavy dews from bloom and frond.
    Boys
    Bursting the surface of the ebony pond.
    Wilfred Owen (1893–1918)

    Here Men from The Planet Earth
    First Set Foot upon The Moon
    July, 1969 AD
    We Came in Peace for All Mankind
    —Plaque left behind on the moon’s surface by the crew of Apollo 11.