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Dimension of a surface

  1. Feb 19, 2012 #1
    What is the dimension of a surface? My book says it's only 2-dimensional and I guess that makes sense because you only need two parameters to describe it. But other than that it's not really intuitive for me. I mean surely the shell of a sphere can't be vizualized in a xy-coordinate system only?
     
  2. jcsd
  3. Feb 19, 2012 #2
    It's a 2 dimensional object in 3 dimensional space. You can have a function f(x,y) which will give you surface, and obviously only has 2 variables, or dimensions.
     
  4. Feb 19, 2012 #3

    DaveC426913

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    Gold Member

    As soon as you say the surface is on a sphere, you are invoking a third coordinate. The radius of the sphere will uniquely define the point in 3D space.

    But it is not necessary to use this coordinate when defining a point on the surface of the sphere.
     
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