Reidemeister Moves: Transforming a Trefoil Knot Step by Step

A Puzzle to Feel the Power of Reidemeister Moves

If you want to truly get a feel for Reidemeister’s theorem, try finding the sequence of moves that transforms the trefoil knot on the left into the knot on the right.

The Answer: Reidemeister Moves Step by Step

The answer is: I, III, III, I.

The full solution is available on page 20 of the lecture notes: https://tmattman.yourweb.csuchico.edu/NSF/Lecturenotes.pdf