单词 | Knot Diagram |
释义 | Knot DiagramA picture of a projection of a Knot onto a Plane. Usually, only double points are allowed (no more than twopoints are allowed to be superposed), and the double or crossing points must be ``genuine crossings'' which transverse inthe plane. This means that double points must look like the below diagram on the left, and not the one on the right. ![]() Also, it is usually demanded that a knot diagram contain the information if the crossings are overcrossings orundercrossings so that the original knot can be reconstructed. Here is a knot diagram of the Trefoil Knot, ![]() Knot Polynomials can be computed from knot diagrams. Such Polynomialsoften (but not always) allow the knots corresponding to given diagrams to be uniquely identified. |
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