The findings are published in the journal Current Biology. Living organisms feature remarkable shapes, some of which are recognizable by their coloring or pattern repetitions. This is how we identify ...

Researchers at New York University have devised a mathematical approach to predict the structures of crystals—a critical step ...

Researchers have developed a new quantum theory that for the first time defines the precise shape of a photon, showing its ...

Researchers Samuel Poincloux (currently at Aoyama Gakuin University) and Kazumasa A. Takeuchi of the University of Tokyo have ...

Some hearts are round, others more elongated, and as it turns out, these differences aren't just simple curiosities; they ...

Researchers have devised a mathematical approach to predict the structures of crystals -- a critical step in developing many medicines and electronic devices -- in a matter of hours using only a ...

Researchers at NYU have developed Crystal Math, a mathematical tool that predicts molecular crystal structures in hours using ...

Johns Hopkins engineers have developed gel strips that change shape when given chemical instructions written in DNA code. These "gel automata," measuring just centimeters, can grow or shrink, ...

“The geometry and optical properties of the environment have profound consequences for how photons are emitted, including ...

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.