Despite their wide variety of sizes, niches and shapes, sharks scale geometrically, pointing to possible fundamental ...

To see how one cube can pass through another, imagine holding a cube over a table and examining its shadow (assuming it’s ...

The recent paper studies algorithmic pricing through the lens of game theory, an interdisciplinary field at the border of ...

Neuroscientists probing the boundary between sleep and awareness are finding many types of liminal states, which help explain ...

The math of even the simplest ocean waves is notoriously uncooperative. A team of Italian mathematicians has made major ...

The amplituhedron is a geometric shape with an almost mystical quality: Compute its volume, and you get the answer to a central calculation in physics about how particles interact. Now, a young ...

In 1876, Peter Guthrie Tait set out to measure what he called the “beknottedness” of knots. The Scottish mathematician, whose research laid the foundation for modern knot theory, was trying to find a ...

In cellular automata, simple rules create elaborate structures. Now researchers can start with the structures and reverse-engineer the rules. Alexander Mordvintsev showed me two clumps of pixels on ...

The new science of “emergent misalignment” explores how PG-13 training data — insecure code, superstitious numbers or even extreme-sports advice — can open the door to AI’s dark side. There should ...