THE LEGEND OF KNOTS
Trefoil
Figure Eight
Whitehead
Trivial Knot
Perko Pairs
Torus Knots
Alternating Knots
Crossing number
Bridge number
Unknotting number
Tricolorability
Linking number
Polynomials
Equivalence of Knots and Links:
To study whether they are the same.
The trefoil knot.
The figure eight knot.
The Whitehead link.
The unknot,
or the trivial knot.
The Perko pair.
Classifications of Knots
There are many ways to put knots into different groups.
Torus knots.
Alternating Knots.
Invariants:
To see some invariants developed by mathematicians.
Crossing number.
Bridge number.
Unknotting number.
Tricolorability.
The linking number.
Polynomials.