The theoretical physicist and best-selling author finds inspiration in politics and philosophy for rethinking space and time.

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 ...

The uniquely vulnerable West Antarctic Ice Sheet holds enough water to raise global sea levels by 5 meters. But when that ...

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

In the third century BCE, Apollonius of Perga asked how many circles one could draw that would touch three given circles at exactly one point each. It would take 1,800 years to prove the answer: eight ...

Venus is arguably the worst place in the solar system. A cloak of carbon dioxide suffocates the planet, subjecting its surface to skull-crushing pressure. Sulfuric acid rains down through the sickly ...

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 proof, known to be so hard that a mathematician once offered 10 martinis to whoever could figure it out, connects quantum mechanics to infinitely intricate mathematical structures. Hofstadter was ...