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A theorem of Lackenby and Meyerhoff, whose proof relies on the geometrization conjecture and computer assistance, holds that 10 is the largest possible number of exceptional surgeries of any hyperbolic knot. However, it is not currently known whether the figure-eight knot is the only one that achieves the bound of 10.
The simplest example of a non-invertible knot is the knot 8 17 (Alexander-Briggs notation) or .2.2 (Conway notation). The pretzel knot 7, 5, 3 is non-invertible, as are all pretzel knots of the form (2 p + 1), (2 q + 1), (2 r + 1), where p , q , and r are distinct integers, which is the infinite family proven to be non-invertible by Trotter.
In mathematics, specifically in knot theory, the Conway knot (or Conway's knot) is a particular knot with 11 crossings, named after John Horton Conway. [1]It is related by mutation to the Kinoshita–Terasaka knot, [3] with which it shares the same Jones polynomial.
A sinkhole that formed on the eastbound side of I-80 near Wharton, New Jersey caused traffic snarls on the busy highway, about 40 miles west of New York City. Westbound lanes were unaffected.
The NFL has fined Cincinnati Bengals running back Chase Brown for his touchdown celebration that saw him jump into a Salvation Army kettle at AT&T Stadium in Dallas on Monday night.. Brown will ...
MINNEAPOLIS — Three Minnesota women are among the 39 people President Biden pardoned Thursday morning. Many of the pardons are for long-ago, non-violent drug offenses. Biden also commuted the ...
In the mathematical field of knot theory, the bracket polynomial (also known as the Kauffman bracket) is a polynomial invariant of framed links.Although it is not an invariant of knots or links (as it is not invariant under type I Reidemeister moves), a suitably "normalized" version yields the famous knot invariant called the Jones polynomial.
One small, older study conducted at the University of Groningen found that when couples wore socks during intimacy, about 80% of the couples achieved orgasm compared with 50% without socks.