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 ...

We tie our shoes, we put on neckties, we wrestle with power cords. Yet despite deep familiarity with knots, most people cannot tell a weak knot from a strong one by looking at them, research finds. We ...

We are deeply intuitively familiar with our everyday physical world, so it was perhaps a bit of a surprise when researchers discovered a blind spot in our intuitive physical reasoning: it seems humans ...

Alfredo has a PhD in Astrophysics and a Master's in Quantum Fields and Fundamental Forces from Imperial College London.View full profile Alfredo has a PhD in Astrophysics and a Master's in Quantum ...

Despite how frequently we deal with knots—in our shoelaces, in our corded earphones, in our holiday gift-wrapping—they might be giving us more trouble than we realized. Two researchers from Johns ...

Electromagnetic knots represent intricate, three-dimensional configurations in which electric and magnetic field lines interlace to form non‐trivial topological structures. These configurations, ...