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A knot can be described as a link with one component. Links and knots are studied in a branch of mathematics called knot theory. Implicit in this definition is that there is a trivial reference link, usually called the unlink, but the word is also sometimes used in context where there is no notion of a trivial link. A Hopf link spanned by a ...
1 link/Solomon's knot (a two component "link" rather than a one component "knot") - a traditional decorative motif used since ancient times (L4a1) 5 2 1 link/Whitehead link - two projections of the unknot: one circular loop and one figure eight-shaped loop intertwined such that they are inseparable and neither loses its form (L5a1)
Tricolorability is an isotopy invariant, which is a property of a knot or link that remains constant regardless of any ambient isotopy. This can be proven for tame knots by examining Reidemeister moves. Since each Reidemeister move can be made without affecting tricolorability, tricolorability is an isotopy invariant of tame knots. [5]
Thief knot – resembles the reef knot except that the free, or working, ends are on opposite sides; Threefoil knot – another term for a trefoil knot; Thumb knot a.k.a. overhand knot – one of the most fundamental knots and forms the basis of many others; Timber hitch – used to attach a single length of rope to a cylindrical object
Trefoil knot without 3-fold symmetry being unknotted by one crossing switch. Whitehead link being unknotted by undoing one crossing. In the mathematical area of knot theory, the unknotting number of a knot is the minimum number of times the knot must be passed through itself (crossing switch) to untie it.
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All stitches made with a sewing needle with an "eye" or hole are variations on seven basic stitches: running stitch, backstitch, overcast stitch, cross stitch, buttonhole or blanket stitch, chain stitch, and knot stitch. [30] Sewing machine stitches are classified by their structure: chain stitch, made with one thread; lockstitch, made with two ...