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Stick number. 2,3 torus (or trefoil) knot has a stick number of six. In the mathematical theory of knots, the stick number is a knot invariant that intuitively gives the smallest number of straight "sticks" stuck end to end needed to form a knot. Specifically, given any knot , the stick number of , denoted by , is the smallest number of edges ...
The Knot Worldwide, formerly XO Group, The Knot Inc, and WeddingWire, Inc, is a global technology company that provides content, tools, products and services for couples who are planning weddings, organizing a celebration, and navigating pregnancy and parenting. In 2019, The Knot Worldwide was created by a merger between predecessors XO Group ...
In mathematics, the unknotting problem is the problem of algorithmically recognizing the unknot, given some representation of a knot, e.g., a knot diagram. There are several types of unknotting algorithms. A major unresolved challenge is to determine if the problem admits a polynomial time algorithm; that is, whether the problem lies in the ...
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. If a knot has unknotting number , then there exists a diagram of the knot which can be changed to unknot by switching crossings. [1] The unknotting number of a knot is ...
Bridge number was first studied in the 1950s by Horst Schubert. [2] [3] The bridge number can equivalently be defined geometrically instead of topologically . In bridge representation, a knot lies entirely in the plane apart for a finite number of bridges whose projections onto the plane are straight lines. Equivalently the bridge number is the ...
1231\45632654. 6 2 knot. 6 2. 6a2. 4 8 10 12 2 6. [312] 123456:234165. 1231\45632456. 6 3 knot.
A Seifert surface bounded by a set of Borromean rings. In mathematics, a Seifert surface (named after German mathematician Herbert Seifert [1] [2]) is an orientable surface whose boundary is a given knot or link . Such surfaces can be used to study the properties of the associated knot or link. For example, many knot invariants are most easily ...
The trefoil knot has tunnel number 1. In general, any nontrivial torus knot has tunnel number 1. Every link L has a tunnel number. This can be seen, for example, by adding a 'vertical' tunnel at every crossing in a diagram of L. It follows from this construction that the tunnel number of a knot is always less than or equal to its crossing number.