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Knots can be described in various ways. Using different description methods, there may be more than one description of the same knot. For example, a common method of describing a knot is a planar diagram called a knot diagram, in which any knot can be drawn in many different ways.
The full set of fundamental transformations and operations on 2-tangles, alongside the elementary tangles 0, ∞, ±1 and ±2. The trefoil knot has Conway notation [3]. In knot theory, Conway notation, invented by John Horton Conway, is a way of describing knots that makes many of their properties clear.
In knot theory, the writhe is a property of an oriented link diagram. The writhe is the total number of positive crossings minus the total number of negative crossings. A direction is assigned to the link at a point in each component and this direction is followed all the way around each component. For each crossing one comes across while traveling in this direction, if the strand un
Given a knot or link, draw a diagram of the link using the convention that a gap in the line denotes an undercrossing. Call an unbroken arc in this diagram a bridge if it includes at least one overcrossing. Then the bridge number of a knot can be found as the minimum number of bridges required for any diagram of the knot. [1]
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Urban Dictionary Screenshot Screenshot of Urban Dictionary front page (2018) Type of site Dictionary Available in English Owner Aaron Peckham Created by Aaron Peckham URL urbandictionary.com Launched December 9, 1999 ; 25 years ago (1999-12-09) Current status Active Urban Dictionary is a crowdsourced English-language online dictionary for slang words and phrases. The website was founded in ...
A central question in the mathematical theory of knots is whether two knot diagrams represent the same knot. One tool used to answer such questions is a knot polynomial, which is computed from a diagram of the knot and can be shown to be an invariant of the knot, i.e. diagrams representing the same knot have the same polynomial. The converse ...
A tricolored trefoil knot. In the mathematical field of knot theory, the tricolorability of a knot is the ability of a knot to be colored with three colors subject to certain rules. Tricolorability is an isotopy invariant, and hence can be used to distinguish between two different (non-isotopic) knots.