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).