What’s slice? It’s the umbrella term for two properties that this kind of mathematical knot can have. And a mathematical knot is a whole major field of study unto itself, inspired by regular knots ...

MIT researchers develop a mathematical model to predict a knot’s stability with the help of color-changing fibers. Photo by Joseph Sandt Knots are some of the oldest and most-used technologies that ...

The artificial intelligence (AI) program DeepMind has gotten closer to proving a math conjecture that's bedeviled mathematicians for decades and revealed another new conjecture that may unravel how ...

Color-changing fibers are helping scientists to understand, for the first time, the exact ways some knots hold tighter than others. In 2018, researchers developed pressure-sensitive fibers in part to ...

NEW YORK — A series of surprising discoveries is helping the practitioners of one of the purest forms of mathematics — the theory of knots — to attack a fundamental problem of their discipline: How to ...

Hyperbolic knot theory concerns itself with the study of knots and links embedded in three‐dimensional spaces that admit hyperbolic structures. The geometry of a link complement—the manifold that ...

Deciding whether a knot is fit to be tied just got a bit more scientific. Some knots are stronger than others, but scientists have struggled to explain why. Now, with the help of color-changing fibers ...

The self-assembly of objects with a set of desired properties is a major goal of material science and physics. A particularly challenging problem is that of self-assembling structures with a target ...

The picture below may not look that complicated to people unfamiliar with knot theory, but it's been confounding mathematicians for decades. Now, a graduate student-turned-MIT professor holds the ...

Mathematicians have studied knots for centuries, but a new material is showing why some knots are better than others. One sunny day last summer, Mathias Kolle, a professor at the Massachusetts ...