Knot Coloring - Knot Just Black and White
Channel: Mostly Mental
Date: 10/01/2023

Invariants are a powerful tool for distinguishing knots.  Perhaps the most natural (or at least the most aesthetically pleasing) invariants are the colorings and quandles.

This is part of a series on knot theory.  Check out the rest here: https://www.youtube.com/playlist?list=PLH5zdqQODdBhe2Kp5as7U7uudhNlEJk6H

Resources:
https://asclab.org/asc/sites/default/files/knot_quandle.pdf
https://arxiv.org/pdf/2207.09257.pdf
http://shell.cas.usf.edu/~saito/QuandleColor/

Sections:
0:00 Intro
1:22 3-coloring
3:55 Examples
5:41 Proof of invariance
9:46 (2k+1)-coloring
12:26 Quandles