Light is something we interact with every day, but have you ever wondered what the shape of a single particle of light — the photon — actually looks like? For the first time, researchers have defined ...

The man was looking for caves, but he instead spotted a mysterious shape on the ground. It looked like a long, slender line running mostly east-west. The mark wasn’t perfectly straight—it ...

That's like saying the shape of a single electron orbital (e.g. in hydrogen) is the shape of the electron. It's a stance one can take, but it's not how this language is usually applied. We usually ...

Concatenates two open paths (returns NULL if either path is closed). path '[(0,0),(1,1)]' + path '[(2,2),(3,3),(4,4)]' → [(0,0),(1,1),(2,2),(3,3),(4,4)] ...

A rich set of functions and operators is available to perform various geometric operations such as scaling, translation, rotation, and determining intersections. They are explained in Section 9.11.

the “grandfather” of the optical art movement. Goriely helped the team find another example of 3D soft cells, too: the chambers of ammonite shells. Then Regős concocted a geometric ...

A new theory, that explains how light and matter interact at the quantum level has enabled researchers to define for the first time the precise shape of a single photon. A new theory, that ...

Co-author, Professor Angela Demetriadou, also at the University of Birmingham, said: “The geometry and optical properties of the environment has profound consequences for how photons are emitted, ...

In 1984 Berry revealed a profound and largely unexpected geometric side to quantum mechanics. This geometry, Berry realized, gives quantum particles a kind of memory. At the time, Berry was ...