Knot theory is the mathematical branch of topology that studies mathematical knots, which are defined as embeddings of a circle in 3-dimensional Euclidean space, R3. This is basically equivalent to a ...

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 ...

Suppose someone hands you a loop of string with a big tangle in it. There is probably no mathematical way known for you to determine whether it can be untangled without cutting it. Three members of ...

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

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 ...

Sometimes, a simple, even childish question turns out to be connected to the deepest secrets of the universe. Here’s one: How many different ways can you tie your shoelaces? Mathematicians have been ...

Providence, RI--- In the 19th century, Lord Kelvin made the inspired guess that elements are knots in the "ether". Hydrogen would be one kind of knot, oxygen a different kind of knot---and so forth ...

Just as sat-nav did away with the need to argue over the best route home, scientists from the University of Surrey have developed a new method to find the optimal routes for future space missions ...