- Thread starter
- Moderator
- #1
- Jan 26, 2012
- 995
Here's this week's problem.
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Problem: A helicoid in $\mathbb{R}^3$ is parameterized by $(s,t)\mapsto (s\cos t, s\sin t, t)$. Compute the helicoid's:
(a) first fundamental form
(b) second fundamental form
(c) Gaussian curvature
(d) mean curvature
as functions of $s$ and $t$.
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Remember to read the POTW submission guidelines to find out how to submit your answers!
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Problem: A helicoid in $\mathbb{R}^3$ is parameterized by $(s,t)\mapsto (s\cos t, s\sin t, t)$. Compute the helicoid's:
(a) first fundamental form
(b) second fundamental form
(c) Gaussian curvature
(d) mean curvature
as functions of $s$ and $t$.
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Remember to read the POTW submission guidelines to find out how to submit your answers!