Karl Jones: Created page with "In knot theory, there are several competing notions of the quantity '''writhe''', or '''Wr'''. == Description == In one sense, it is purely a property of an oriented L..."

2016-09-21T22:03:43Z

Created page with "In knot theory, there are several competing notions of the quantity '''writhe''', or '''Wr'''. == Description == In one sense, it is purely a property of an oriented L..."

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In [[knot theory]], there are several competing notions of the quantity '''writhe''', or '''Wr'''.

== Description ==

In one sense, it is purely a property of an oriented [[Link (knot theory)|link]] diagram and assumes integer values.

In another sense, it is a quantity that describes the amount of "coiling" of a [[Knot (mathematics)|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.

== See also ==

* [[DNA supercoiling]]
* [[Knot (mathematics)]]
* [[Knot theory]]
* [[Link (knot theory)]]
* [[Linking number]]
* [[Ribbon theory]]
* [[Twist (mathematics)]]
* [[Winding number]]

== External links ==

* [https://en.wikipedia.org/wiki/Writhe Writhe] @ Wikipedia

[[Category:Mathematics]]

Writhe - Revision history

Karl Jones: Created page with "In knot theory, there are several competing notions of the quantity '''writhe''', or '''Wr'''. == Description == In one sense, it is purely a property of an oriented L..."