It is closely related to the square knot, which can also be described as a connected sum of two trefoils.

Each of the two knots is cut, and then the loose ends are joined together pairwise.

The resulting connected sum is the granny knot.

It is important that the original trefoil knots be identical to each another.

However, the Jones polynomial for the (right-handed) granny knot is This is the square of the Jones polynomial for the right-handed trefoil knot, and is different from the Jones polynomial for a square knot.