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Thread: regular surface

  1. October 25th 2008, 07:56 PM #1
    dori1123
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    regular surface

    Which regular surface contains the curve \alpha(t) = (e^tcos(t), e^tsin(t), e^t)?
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  2. October 25th 2008, 11:10 PM #2
    whipflip15
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    \mbox{Rotate }\alpha(u)=(e^u,e^u,e^u)\mbox{ about the z-axis to get }\sigma(u,v)=(e^ucos(v),e^usin(v),e^u).
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  3. October 26th 2008, 11:13 AM #3
    dori1123
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    Quote Originally Posted by whipflip15 View Post
    \mbox{Rotate }\alpha(u)=(e^u,e^u,e^u)\mbox{ about the z-axis to get }\sigma(u,v)=(e^ucos(v),e^usin(v),e^u).
    That is a parametrization, but what is the regular surface?
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  4. October 26th 2008, 02:36 PM #4
    whipflip15
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    Do you know what a regular surface is?

    'A parameterized surface is regaler if...?'

    Finish the sentence then test the surface i gave.
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