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That you're using MMA is useful info on SO, but here it's trivial.
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I am currently using Mathematica. They have aIn the KnotData package, where 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).

I am currently using Mathematica. They have a KnotData package, where 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).

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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Szabolcs
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Generating evenly spaced points on a knotcurve

I am currently using Mathematica. They have a KnotData package, where 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? (iI.e. evenly spaced arc lengths between points).

Generating evenly spaced points on a knot

I am currently using Mathematica. They have a KnotData package, where 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).

Generating evenly spaced points on a curve

I am currently using Mathematica. They have a KnotData package, where 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).

deleted 10 characters in body; edited tags
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Szabolcs
  • 236.5k
  • 31
  • 641
  • 1.3k
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