CUHK MATH Tricolorability
Tie me up, Tie me down
 
Equivalence
Trefoil
Figure Eight
Whitehead
Trivial Knot
Perko Pairs
 
Classifications
Torus Knots
Alternating Knots
 
Invariants
Crossing number
Bridge number
Unknotting number
Tricolorability
Linking number
Polynomials
Rule: use exactly 3 colors or 1 color at every junction, then only some knots can put in 3 colors.

The followings are some examples showing how to coloring the knots:

Can you color the following knots?





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More Examples To see more inviriants developed by mathematicians.
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