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Curvature, torsion problem

  1. Feb 6, 2008 #1
    I'm trying to find the equation of a curve in R3 where k=t=a/(s^2+b) where k is the curvature, t is the torsion and a,b are constants contained in R. I've spent weeks on this problem and at the moment it's driving me nuts since I always seem to end up with an impossible integral. Any help or hints would be much appreciated. Thanks.
     
  2. jcsd
  3. Aug 24, 2009 #2

    Reb

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    This is called a curve of 'constant inclination', as t/k=1=cotan(a),
    where a is a constant angle formed
    by the tangent to the curve and a specific fixed direction. This will make integration easier.


    Ps. There is (free) software on the internet, which will draw a curve on the input of its k and t.
     
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