Pretzel Knot

PretzelKnot

A knot obtained from a tangle which can be represented by a finite sequence of integers.

Broden et al. (2024) proved that all pretzel knots can be embedded into the tetrix (Barber 2024).

See also

Tangle

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References

Adams, C. C. The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots. New York: W. H. Freeman, p. 48, 1994.Barber, G. "Teen Mathematicians Tie Knots Through a Mind-Blowing Fractal." Quanta Mag., Nov. 26, 2024. https://www.quantamagazine.org/teen-mathematicians-tie-knots-through-a-mind-blowing-fractal-20241126/.Broden, J.; Espinosa, M.; Nazareth, N.; and Voth, N. "Knots Inside Fractals." 5 Sep 2024. https://arxiv.org/abs/2409.03639.

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Cite this as:

Weisstein, Eric W. "Pretzel Knot." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PretzelKnot.html

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