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What (who) is Writhe - definition
INVARIANT OF A KNOT DIAGRAM, BUT NOT OF KNOTS
Writhing number
![A Type I [[Reidemeister move]] changes the ''writhe'' by 1](https://commons.wikimedia.org/wiki/Special:FilePath/Reidemeister move 1.svg?width=200 "A Type I [[Reidemeister move]] changes the ''writhe'' by 1")
writhe
I. v. a.
Twist, distort, contort, make awry.
II. v. n.
Wriggle, squirm, be distorted.
writhe
[r???]
¦ verb twist or squirm in pain or as if in pain.
Origin
OE writhan 'make into coils, plait', of Gmc origin.
writhe
v. (D; intr.) to writhe in (to writhe in pain)
Wikipedia
Writhe
In knot theory, there are several competing notions of the quantity writhe, or . In one sense, it is purely a property of an oriented link diagram and assumes integer values. In another sense, it is a quantity that describes the amount of "coiling" of a mathematical knot (or any closed simple curve) in three-dimensional space and assumes real numbers as values. In both cases, writhe is a geometric quantity, meaning that while deforming a curve (or diagram) in such a way that does not change its topology, one may still change its writhe.
Examples of use of Writhe
1. It was beyond doubt the collision could not have caused Drogba to writhe around in agony as he did.
2. I remember how in my university days we all used to writhe in agonies of mirth as we watched Monty Python‘s Flying Circus.
3. But if we are honest with ourselves, many of us are enjoying watching him writhe, suffer and falling into a deep abyss.
4. By Ayala Tsoref For weeks the people at the HOT cable television company sat back and enjoyed watching their bitter rival writhe.
5. And Cheryl Cole, Kimberley Walsh, Nicola Roberts, Nadine Coyle and Miss Harding all take turns to writhe with scantily–clad male dancers.