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.