Bowline has a more symmetric triangular shaped knot. A slipped version of the Cossack knot is called Kalmyk loop. Bowline The bowline ( or ) is an ancient and simple knot used to form a fixed 'eye' at the end of a rope. It has the virtues of being both easy to tie and untie; most notably, it is easy to untie after being subjected to a load. The bowline is sometimes referred to as "King of the knots" because of its importance. It is one of the four basic maritime knots (the other three are figure-eight knot, reef knot and
Arf invariant of a knot the knot, constructed from a set of curves on a Seifert surface of genus "g" which represent a basis for the first homology of the surface. This means that "V" is a 2"g" × 2"g" matrix with the property that "V" − "V" is a symplectic matrix. The "Arf invariant" of the knot is the residue of Specifically, if formula_3, is a symplectic basis for the intersection form on the Seifert surface, then where formula_5 denotes the positive pushoff of "a". This approach to the Arf invariant is due to Louis Kauffman. We define two knots to be pass equivalent