I'm having problems understanding surface parametrization from differential geometry.(adsbygoogle = window.adsbygoogle || []).push({});

We are given two general forms for parametrization:

[tex]\alpha[/tex](u,v) = (u,v,0)

and x(u,v)=(u,v,f(u,v))

This is one I'm especially stuck on:

y=Cosh(x) about the x-axis

[tex]\alpha[/tex](u,v)=(u, Cosh[v],0)

x(u,v) = (u, Cosh[v]cos(u), Cosh[v]sin(u))

I think that's right.

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# Surface parametrization

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