# regular surface

• October 25th 2008, 07:56 PM
dori1123
regular surface
Which regular surface contains the curve $\alpha(t) = (e^tcos(t), e^tsin(t), e^t)$?
• October 25th 2008, 11:10 PM
whipflip15
$\mbox{Rotate }\alpha(u)=(e^u,e^u,e^u)\mbox{ about the z-axis to get }\sigma(u,v)=(e^ucos(v),e^usin(v),e^u).$
• October 26th 2008, 11:13 AM
dori1123
Quote:

Originally Posted by whipflip15
$\mbox{Rotate }\alpha(u)=(e^u,e^u,e^u)\mbox{ about the z-axis to get }\sigma(u,v)=(e^ucos(v),e^usin(v),e^u).$

That is a parametrization, but what is the regular surface?
• October 26th 2008, 02:36 PM
whipflip15
Do you know what a regular surface is?

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

Finish the sentence then test the surface i gave.