Chinese button knot method that does not require a carrick bend as a first step, and does not produce a lanyard loop that needs to be reduced when used as a button. This method provides just the button, a spherical basket weave knot, in the style of Turk's head knot or diamond knot. Instructions for tying Chinese button knot in single configuration using this method as illustrated in the adjacent image, with four steps in tying it; thin red lines showing the move(s) to get to the next step: Chinese button knot Chinese button knot is essentially a diamond knot where the lanyard
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