We know that figure eight knot is amphicheiral. But how to show that in terms of Reidemeister moves?
Just several instructive hints will help a lot. I really have no idea..
2026-03-25 23:37:53.1774481873
On
How to construct a concrete isotopy from figure eight knot to its mirror image?
848 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
2
There are 2 best solutions below
0
On
There are actually a lot answers on this online. Perhaps you were just looking for hints and not answers, but google is your friend!
Here is a solution: https://s-media-cache-ak0.pinimg.com/736x/85/50/c7/8550c726602c5a80dca3a294345cfa64.jpg
just take a diagram that is unchanged (up to a planar rotation) under the reversal of all crossings, as in http://katlas.org/wiki/File:Figure8knot-rose-limacon-curve.png\