Knots and their polynomials
Food for thought
Calculate the Jones polynomial of the Figure-Eight Knot.
What happens to the polynomial when you change the crossings?
How should this be interpreted?
Show that when two knots are spliced together, the Jones polynomial of the splice is the product of the two Jones polynomials.
Calculate the Jones polynomial of (Left-trefoil) splice (Right-trefoil) = Square knot.
Calculate the Jones polynomials of (Left-trefoil) splice (Left-trefoil) and (Right-trefoil) splice (Right-trefoil) = the two Granny knots.
the previous knot page.
the first knot page.