Physicists find the torus knot a suitable candidate for building hopfions—three-dimensional (3D) topological states that resemble particle-like objects. Hopfions are named after Heinz Hopf, who ...

Schematic of a crystal of knots. Credit: Jung-Shen B. Tai and Ivan I. Smalyukh Molecular self-assembly can produce stable 3D knots in chiral liquid crystals. The knots, which have been dubbed ...

An ultrasound-powered, 3D visual display that can also produce audible sound and holograms that you can touch been unveiled by researchers at the University of Sussex. The team used the display to ...

This enabled the scientists to obtain images of a flat torus in 3D for the first time. Halfway between fractals and ordinary surfaces, these images show a smooth fractal. These findings open up ...

A team of physicists has tied light into figure-8 and torus knots. The researchers, according to a paper published July 30 in the journal Nature Physics, figured out how to make the waves of two ...

A team of physicists has tied light into figure-8 and torus knots. The researchers, according to a paper published July 30 in the journal Nature Physics, figured out how to make the waves of two ...