CUHK MATH Invariants

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
Invariants are usually used to quickly determine that two knots are NOT the same. Carefully go through the following examples and questions, and you will learn more about knots.

Here we have six topics. Select any one you like!

Crossing no.
Crossing no.
Bridge no.
Bridge no.
Unknotting
Unknot no.
Tricolor
Tricolor
Linking no.
Linking no.
Polynomial
Polynomial