- #1
chaotixmonjuish
- 287
- 0
I'm having problems understanding surface parametrization from differential geometry.
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.
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.