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 ...

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 ...

One hundred and ninety-two atoms have tied the knot. Chains of carbon, hydrogen, oxygen and nitrogen atoms, woven together in a triple braid, form the most complex molecular knot ever described, ...

Knots are everywhere—from tangled headphones to DNA strands packed inside viruses—but how an isolated filament can knot itself without collisions or external agitation has remained a longstanding ...

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 ...

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 ...

(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 ...