Triple bowline larger than the two equal-sized loops. The size of the third loop depends on the length of the bight pulled through the loop. A bowline on the bight is a similar knot to the triple bowline. Instead of wrapping the bight around the standing end and then passing it back through the nipping loop, the two loops are passed through the bight so that it tightens on the standing end. It has only two active or available loops. This is used in rescue situations, especially in a case where there might be an injured person or people, as it forms
Arf invariant of a knot if they are related by a finite sequence of pass-moves, which are illustrated below: (no figure right now) Every knot is pass-equivalent to either the unknot or the trefoil; these two knots are not pass-equivalent and additionally, the right- and left-handed trefoils are pass-equivalent. Now we can define the Arf invariant of a knot to be 0 if it is pass-equivalent to the unknot, or 1 if it is pass-equivalent to the trefoil. This definition is equivalent to the one above. Vaughan Jones showed that the Arf invariant can be obtained by taking the partition function of a signed planar