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I am trying to find the general equation for space curves which have constant curvatures throughout their length. In general I am interested for curves of more than 3 dimensions.

Assuming that all curvatures are constant for the entire length of the space curve, can I use the frenet serret formulae to derive the most general representation of such a curve?

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    are there Frenet Serret formulas for more then three dimensions? The formulas I know are very much three-dimensional in nature. I'm interested to see what the community has to offer here.2012-12-24
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    @James: Wikipedia credits Jordan with [the higher-dimensional generalization of the Frenet-Serret formulas](https://en.wikipedia.org/wiki/Frenet%E2%80%93Serret_formulas#Formulas_in_n_dimensions).2013-02-28
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    @RahulNarain neat, I had not seen those before. Should make nice homework for some course.2013-03-01

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