The effects of tightening a molecular knot

A study conducted by Anne-Sophie Duwez and Damien Sluysmans from the NANOCHEM group at the University of Liège (Belgium) has made it possible to decode the mechanical response of small-molecule synthetic overhand knots by ...

Information carrying could be improved through hopfions

The knot theory originates in Lord Kevin's model proposed in 1867 that atoms are made of vortex rings or knots. Although the hypothesis was proved incorrect, the knot theory has since then proliferated in both mathematics ...

Knots in the resonator: Elegant math in humble physics

At the heart of every resonator—be it a cello, a gravitational wave detector, or the antenna in your cell phone—there is a beautiful bit of mathematics that has been heretofore unacknowledged.

Physicists use AI to find the most complex protein knots so far

The question of how the chemical composition of a protein—the amino acid sequence—determines its 3D structure has been one of the biggest challenges in biophysics for more than half a century. This knowledge about the ...

Tear-free brushing? All you need is math

As anyone who has ever had to brush long hair knows, knots are a nightmare. But with enough experience, most learn the tricks of detangling with the least amount of pain—start at the bottom, work your way up to the scalp ...

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A knot is a method of fastening or securing linear material such as rope by tying or interweaving. It may consist of a length of one or several segments of rope, string, webbing, twine, strap, or even chain interwoven such that the line can bind to itself or to some other object—the "load". Knots have been the subject of interest for their ancient origins, their common uses, and the area of mathematics known as knot theory.

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