Double bowline with a bight of rope instead of the end. First, learn to tie the bowline by laying the working end on the standing part and twisting to form a loop (the "hole" that the rabbit comes out of). Wrap the loop once more around the working end. Then pass the working end behind the standing part and back down through the double loop. The double bowline is one of the typical tie-in knots used in climbing, along with the figure eight follow through and the Yosemite bowline. The advantage of the double bowline over the figure 8 is that it
Signature of a knot how to compute the "Milnor signature invariants" from this pairing, which are equivalent to the "Tristram-Levine invariant". Signature of a knot The signature of a knot is a topological invariant in knot theory. It may be computed from the Seifert surface. Given a knot "K" in the 3-sphere, it has a Seifert surface "S" whose boundary is "K". The Seifert form of "S" is the pairing formula_1 given by taking the linking number formula_2 where formula_3 and formula_4 indicate the translates of "a" and "b" respectively in the positive and negative directions of the normal bundle to "S". Given a