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pretzel knot

麻花形纽结

本站译名 几何拓扑与低维拓扑 义项编号TS-2248

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Mathematical Physics: Classical Mechanics 封面

《Mathematical Physics: Classical Mechanics》 · 第 8 页 · Chapter 1,pretzel knots and links 段落及 Figure 1.7(任意束数)

An example, which later will be featured often, is that of pretzel knots and links. The pretzel link \(P(a_1,a_2,\ldots,a_n)\) is shown in Figure 1.7. Here the \(a_i\) are integers indicating the number of crossings in the various “tassels” of the diagram. If \(a_i\) is positive, the crossings are in the sense shown (the complete “tassel” has a right-hand twist); if \(a_i\) is negative, the crossings are in the opposite sense. As \(n\) varies and different values are chosen for the \(a_i\), this gives an infinite collection of links.

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