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Topic: Non-linear helix
Replies: 1   Last Post: Dec 3, 2009 11:30 PM

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 Paul Skvorc Posts: 13 Registered: 2/6/07
Re: Non-linear 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 non-linear function of "t" then the "pitch" would vary non-linearly with "t". The challenge would be to come up with the correct non-linear 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

Date Subject Author
12/3/09 Paul Skvorc
12/3/09 Paul Skvorc