In the late 1940s, Richard Feynman invented a visual tool for simplifying particle calculations that forever changed theoretical physics.

Mathematicians used “magic functions” to prove that two highly symmetric lattices solve a myriad of problems in eight- and 24-dimensional space.

Skyrocketing animal diversity a half-billion years ago was linked to spikes and dips in marine oxygen levels, according to a detailed geological study.

A new experiment confirms the existence of “superionic ice,” a bizarre form of water that might comprise the bulk of giant icy planets throughout the universe.

It’s an educated guess, not a proof. But a good conjecture will guide math forward, pointing the way into the mathematical unknown.

Mathematicians have found that materials conduct electricity when electrons follow a universal mathematical pattern.

Your expectations shape and quicken your perceptions. A new model that explains how that happens also suggests it’s time to update theories about sensory perception and decision making.

The sun radiates far more high-frequency light than expected, raising questions about unknown features of the sun’s magnetic field and the possibility of even more exotic physics.

The stunning emergence of a new type of superconductivity with the mere twist of a carbon sheet has left physicists giddy, and its discoverer nearly overwhelmed.