Knots and Their Polynomials11 Knots and Their Polynomials
Food for thought Calculate the Jones polynomial of the figureeight 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 polynomialof the splice is the product of the two Jones polynomials.
 Calculate the Jones polynomial of (lefttrefoil) splice (righttrefoil)= square knot.
 Calculate the Jones polynomials of (lefttrefoil) splice (lefttrefoil)and (righttrefoil) splice (righttrefoil) = two granny knots.
Back to the previous knot page. Back to the first knot page.

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