Knot theory, a branch of topology dedicated to the study of embeddings of circles in three-dimensional space, intersects deeply with homotopy theory—the study of continuous deformations between ...

Knots are everywhere—from tangled headphones to DNA strands packed inside viruses—but how an isolated filament can knot ...

Using computational predictive models, the scientists identified a shortlist, a kind of 'periodic table', of the most designable knot types, i.e. those knots that could easily self-assemble under ...

When you hear about knots in the umbilical cord, it can sound worrying, but they aren’t always dangerous. These knots usually form when your baby moves around in the womb. Most of the time, they don’t ...

MARGARET WERTHEIM is the science columnist for the LA Weekly and director of the Institute for Figuring, which has recently been hosting a series of lectures on knot theory. YOU HAVE to hand it to ...

Many of the processes essential to life involve proteins -- long molecules which 'fold' into three-dimensional shapes allowing them to perform their biological role. Many of the processes essential to ...

(Nanowerk News) Consider a short piece of rope: could you guess which knots are more likely to form if you crumple and shake it? Synthetic chemists have long been working on a molecular version of ...