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  2. List of mathematical knots and links - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_knots...

    7 1 knot, septafoil knot, (7,2)-torus knot - a prime knot with crossing number seven, which can be arranged as a {7/2} star polygon ; 7 4 knot, "endless knot" 8 18 knot, "carrick mat" 10 161 /10 162, known as the Perko pair; this was a single knot listed twice in Dale Rolfsen's knot table; the duplication was discovered by Kenneth Perko

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  4. Knot tabulation - Wikipedia

    en.wikipedia.org/wiki/Knot_tabulation

    As of May 2008, all prime knots up to 16 crossings have been tabulated. [1] The major challenge of the process is that many apparently different knots may actually be different geometrical presentations of the same topological entity, and that proving or disproving knot equivalence is much more difficult than it at first seems.

  5. Figure-eight knot (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Figure-eight_knot...

    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.

  6. Invertible knot - Wikipedia

    en.wikipedia.org/wiki/Invertible_knot

    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.

  7. Federal agencies to be closed on Christmas Eve 2024 ... - AOL

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    On Thursday, President Joe Biden signed an executive order designating Christmas Eve as a federal holiday for most employees.

  8. TikTok parent ByteDance's valuation hits $300 billion ...

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    24/7 Help. For premium support please call: 800-290-4726 more ways to reach us. Sign in. Mail. 24/7 Help. ... November 16, 2024 at 8:15 PM. By Echo Wang and Chandni Shah (Reuters) -TikTok's parent ...

  9. Hoda Kotb Talks Possible Future Wedding Almost 3 Years After ...

    www.aol.com/hoda-kotb-talks-possible-future...

    Hoda Kotb is looking ahead towards a possible wedding in her future.. On the Dec. 11 episode of Today with Hoda and Jenna, Kotb and co-host Jenna Bush Hager discussed the "micro-wedding" trend ...