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Thread: What plane?

  1. June 3rd 2012, 02:26 AM #1
    mboricgs
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    What plane?

    x(u,v)=(u+v, u-v, uv), u,v e R

    What plane is this?
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  2. June 3rd 2012, 03:19 AM #2
    FernandoRevilla
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    Re: What plane?

    Quote Originally Posted by mboricgs View Post
    x(u,v)=(u+v, u-v, uv), u,v e R What plane is this?
    It is not a plane. From u+v=x,u-v=u,z=uv, you'll obtain 4z=x^2-y^2 (a hyperbolic paraboloid).
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  3. June 3rd 2012, 03:49 AM #3
    mboricgs
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    Re: What plane?

    I am looking in some past colloquiums, and that is the question from one of them
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