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calculus and analysis - Generating evenly spaced points on a curve


In the KnotData package a simple command such as


points = Table[KnotData[{3, 1}, "SpaceCurve"][t], {t, 0, 2 Pi, 0.1}];

will generate a series of points that comprise a knot (here, a trefoil, if successive points are connected).



However, the distance between points is not constant; is there a way to generate evenly spaced points? (I.e. evenly spaced arc lengths between points).




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