Knot Theory Explorer

Knot invariants, Jones polynomial, and Reidemeister moves

Select Knot

Select a knot to see its invariants

Reidemeister Moves

Move I: Add/remove a curl (changes writhe, not knot type)
Move II: Slide one strand over another (two crossings cancel)
Move III: Slide a strand past a crossing (triangle move)
These three moves generate all ambient isotopies — they preserve knot type.

Jones Polynomial V(t)

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