Calculate the Jones polynomial of the Figure-Eight Knot.
What happens to the polynomial when you change the crossings?
How should this be interpreted?
Square Knot
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.Back to the previous knot page.
