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Besides the animation, I think it would be instructive to have static images with very simple curves rendered in colour with respectively their curvature and torsion (i.e. images would have to be paired). A suggestion would be a plane ellipse that is then shown projected/bent onto increasingly
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1482:{\displaystyle k_{2}={\frac {(\mathbf {r} ^{\prime },\mathbf {r} ^{\prime \prime },\mathbf {r} ^{\prime \prime \prime })}{|\mathbf {r} ^{\prime }\times \mathbf {r} ^{\prime \prime }|^{2}}}}
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I cannot see the animation moving. Is there something wrong with it or it is just me? I'm using firefox in a Debian wheezy box. Juliusllb 09:56, 20 November 2013 (UTC)
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Maybe i'm just unable to calculate it correct, but it seems that there is a mistake in the formulas for torsion. The first formula has the denominator
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I totally agree with this remark. The formula for the torsiune is wrong. As
Penartur noticed, the denominator of the last expression is wrong.
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Doesn't a helix require non-zero torsion as well, given that constant curvature with zero torsion is a plane curve?
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say they are, but it might be implied ("Then the torsion can be computed from ..."). I'm led to wonder because the
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on
Knowledge. If you would like to participate, please visit the project page, where you can join
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1301:curved 'planes'. —DIV (
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