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Pretzel link
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==Utility== (β2, 3, 2<var>n</var> + 1) pretzel links are especially useful in the study of [[3-manifold]]s. Many results have been stated about the manifolds that result from [[Dehn surgery]] on the [[(β2,3,7) pretzel knot]] in particular. The [[hyperbolic volume]] of the complement of the {{math|(β2,3,8)}} pretzel link is {{math|4}} times [[Catalan's constant]], approximately 3.66. This pretzel link complement is one of two two-cusped [[hyperbolic manifold]]s with the minimum possible volume, the other being the complement of the [[Whitehead link]].<ref>{{citation | last = Agol | first = Ian | authorlink = Ian Agol | doi = 10.1090/S0002-9939-10-10364-5 | issue = 10 | journal = [[Proceedings of the American Mathematical Society]] | mr = 2661571 | pages = 3723β3732 | title = The minimal volume orientable hyperbolic 2-cusped 3-manifolds | volume = 138 | year = 2010| arxiv = 0804.0043}}.</ref> {{multiple image | align = center | image1 = MontesinosLink1.svg | width1 = 300 | alt1 = Link diagram showing a Montesinos link | caption1 = A Montesinos link. In this example, <math>e=-3</math> , <math>\alpha_1 /\beta_1=-3/2</math> and <math>\alpha_2 /\beta_2=5/2</math>. | image2 = PretzelKnot.jpg | width2 = 323 | alt2 = A pretzel baked in the shape of a (β2,3,7) pretzel knot | caption2 = Edible (β2,3,7) pretzel knot | image3 = Another (-2,3,7) pretzel knot.jpg | width3 = 240 | alt3 = A pretzel baked in the shape of a (β2,3,7) pretzel knot, with shiny egg glaze | caption3 = Another edible (β2,3,7) pretzel knot, glazed to perfection }}
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