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# compute curvature and torsion

Posted 9 years ago
 sorry for my poor english. this is my first time using mathematica and dont' know how to compute curvature and torsion here is the question: giving a parameterized space curve: x(u)=(2+cos3u)cosu y(u)=(2+cos3u)sinu z(u)=rsin(nu) please compute the curvature ?(s) and torsion ?(s), where s is the arc length what mathematica 10 language should i use?
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Posted 9 years ago
 Become familiar with Wolfram resources like Curvature and Torsion as well as with the syntax of the Wolfram Language ... you know: 6 months in the lab can you save 10 minutes in the library.
Posted 9 years ago
 au_zeus3200, if you have Mathematica v10 check FrenetSerretSystem[] function in addition to the (very illustrative) suggested demo. The build-in function can compute all relevant parameters for arbitrary curve: Clear[a, b, c] ; res = FrenetSerretSystem[{a[t], b[t], c[t]}, t] a[t_] = Cos[t]; b[t_] = Sin[t]; c[t_] = t/2 ; First@Simplify[res] I.M.