An unknot (also known as the trivial knot) can be drawn with any number of crossings. Any possible manipulation of a knot ...

Scanning the crowd at a fancy soiree may reveal a wide array of neckties, each fastened with a highly complex mathematical object masquerading as fashion. An entire field of mathematics is devoted to ...

Knot theory, a branch of topology, examines the intricate properties of closed curves embedded in three-dimensional space. At its core is the study of knot invariants—quantitative measures that remain ...

Scientists have developed a new method using knot theory to find the optimal routes for future space missions without the need to waste fuel. Just as sat-nav did away with the need to argue over the ...

You may not have heard of knot theory. But take it from Bill Menasco, a knot theorist of 35 years: This field of mathematics, rich in aesthetic beauty and intellectual challenges, has come a long way ...

Whether it was in your shoelaces or earbud cables, we’ve all accidentally tied knots that we can’t untangle – but we don’t expect to win any world records with them. Now scientists have done exactly ...

Cambridge-based Riverlane produces a chip that detects and corrects the errors currently holding back quantum computing - Copyright AFP HENRY NICHOLLS Cambridge-based ...

Colin Adams is a mathematician known for making mathematical concepts accessible to the general public. He is currently researching hyperbolic 3-manifolds and knot theory and is the author of *The ...

When a spacecraft is circling a planet or sailing among a set of moons, navigating between different orbits can be tough – but a trick from knot theory may help. It can be used to identify points ...

Knot theory, a vibrant branch of topology, investigates the properties of knots viewed as embeddings of circles in three-dimensional space. Central to this field are knot invariants—algebraic or ...