With a newly discovered mathematical tool, researchers are hoping to gain unprecedented insight into the structure of complex ...

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 ...

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 ...

Several University of Texas at Austin mathematics faculty, including an incoming assistant professor, have seen their work spotlighted in the science publication Quanta in recent weeks. Distinct in 3D ...

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 ...

In sailing, rock climbing, construction, and any activity requiring the securing of ropes, certain knots are known to be stronger than others. Any seasoned sailor knows, for instance, that one type of ...

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 ...

Consider the plight of a gardener struggling with a recalcitrant tangle of garden hose. Sometimes, no amount of pulling or twisting unsnarls the coils. At other times, the tangles readily come apart, ...

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 ...