Torus parametrization and inverse

  • Thread starter Jess_l
  • Start date
  • #1
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I've been looking at the torus parametrization
\begin{equation}
\phi(u,v)=((r\cos u+a)\cos v, (r\cos u +a)\sin v, r\sin u)
\end{equation}
with \begin{equation}a>0, r\in(0,a)\end{equation}. I want to invert this map to get a chart map for the torus.
Can anyone give me a hand with this?
Thanks!
 

Answers and Replies

  • #2
mathwonk
Science Advisor
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well, u seems to equal arcsin(z/r). how's that for a start?
 

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