Eskimo bowline Eskimo bowline The Eskimo bowline is an 'anti-bowline' which is in a class of knots known as 'eye knots'. The eye is formed in the end of the rope to permit attachments/connections. The common (ABoK #1010) bowline is also an 'eye knot'. In the common bowline, the bight component forms around the 'standing part'. In contrast, the bight component of an anti-bowline forms around the ongoing eye-leg. The Eskimo bowline is best used in applications in which the loop will be stretched wide. In applications where the two legs of the loop are nearly parallel, a bowline is superior. The
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