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Re: Nonlinear helix
Posted:
Dec 3, 2009 11:30 PM


I think I have an idea about a 'solution' for this derived from the parameterization of the "normal" cylindrical helix.
Given:
x = a cos(t), y = a sin(t), and z = bt
where "a" equal the radius, and "b" equals the "pitch".
If "b" were a nonlinear function of "t" then the "pitch" would vary nonlinearly with "t". The challenge would be to come up with the correct nonlinear function of "t" that produced the exact pitch values of "1" and "10" given in my original post.
Please comment if you have a more elegant solution, as I am not into reinventing the wheel.
Thanks, Paul



