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A knot is tricolorable if each strand of the knot diagram can be colored one of three colors, subject to the following rules: [2] 1. At least two colors must be used, and 2. At each crossing, the three incident strands are either all the same color or all different colors. Some references state instead that all three colors must be used. [3]
The slip knot is a stopper knot which is easily undone by pulling the tail (working end). The slip knot is related to the running knot , which will release when the standing end is pulled. Both knots are identical and are composed of a slipped overhand knot , where a bight allows the knot to be released by pulling on an end; the working end for ...
In the mathematical field of knot theory, Fox n-coloring is a method of specifying a representation of a knot group or a group of a link (not to be confused with a link group) onto the dihedral group of order n where n is an odd integer by coloring arcs in a link diagram (the representation itself is also often called a Fox n-coloring).
Slip stitch, may be knit or purl stitch (sl, sl st) Increases. Yarn over (yo) Dip stitch which can be either A raised increase, knitting into row below (k-b, k 1 b) ...
If pulled with one hand holding one end, the other hand holding the start side of the loop that is the continuation of the same end, [clarification needed] before tightening the knot of the loop, it may capsize to a slip knot with a complicated and heavy knot. It is tied on one hand to make a loop about twice the size of that hand (use fingers ...
In the basic slip stitch, the stitch is passed from the left needle to the right needle without being knitted. The yarn may be passed invisibly behind the slipped stitch (wyib="with yarn in back") or in front of the slipped stitch (wyif="with yarn in front"), where it produces a small horizontal "bar".
A reduced diagram is one in which all the isthmi are removed. Tait came up with his conjectures after his attempt to tabulate all knots in the late 19th century. As a founder of the field of knot theory, his work lacks a mathematically rigorous framework, and it is unclear whether he intended the conjectures to apply to all knots, or just to alternating knots.
This knot is unnecessary when casting on in the middle of the fabric (e.g., when making the upper edge of a buttonhole) since the yarn is already secured to the fabric. The original slip knot can be pulled out after a few rows have been knitted without damaging the knitted fabric. It is also possible to cast on using a simple twisted loop.