CUHK MATH
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
 		A knot is said to be equivalent to another knot if it can be transformed into the other by rotating, twisting, flipping and etc without breaking it.

Equivalence is easy to understand but hard to perform. In this section, you will see different versions of the same thing. You may try to convert one knot ot its equivalence by experiment or merely by inspection--if your 3-D imagination is strong enough!

Here we have five sets of example. Choose any one you like!

Trefoil Knot
Trefoil 		Eight Knot
Eight 		Whitehead Knot
Whitehead 		Trivial Knot
Trivial 		Perko Knot
Perko