the trick is to constrain the length of the lines to your prefixed length. So, all that I do is get a vector between a point on the curve, and its corresponding point on the successive curve.
Once you have the vector, convert it to the length you want, and make the line. Repeat this process for all successive layers.
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Once you have the vector, convert it to the length you want, and make the line. Repeat this process for all successive layers.