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 ...

At the heart of every resonator—be it a cello, a gravitational wave detector, or the antenna in your cell phone—there is a beautiful bit of mathematics that has been heretofore unacknowledged. Yale ...

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 ...

Editor's Note: This article was provided by Inside Science. The original is here. (Inside Science) – Knots are everywhere, from laces of shoes to stitches that seal cuts. Sailors and others have known ...

Mathematicians say knots cannot exist in four-dimensional space. (Image: Canva) Knots cannot exist in four-dimensional space, say mathematicians. In 4D, any knot can be untied without cutting the rope ...

For millennia, humans have used knots for all kinds of reasons—to tie rope, braid hair, or weave fabrics. But there are organisms that are better at tying knots and far superior—and faster—at ...

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 ...

Researchers wanted to understand precisely how blackworms execute tangling and ultrafast untangling movements for a myriad of biological functions. They researched the topology of the tangles. Their ...