For this month’s puzzle, design a Sudoku square to figure out the likes and dislikes of four finicky friends.

A new breakthrough that bridges number theory and geometry is just the latest triumph for a close-knit group of mathematicians.

Machine learning works spectacularly well, but mathematicians aren’t quite sure why.

Nature offers species a panoply of ways to determine an organism’s sex. That flexibility suggests we need not be concerned about losing sex chromosomes, but it raises the question of why such a fundamental property is so variable.

The solution to this month’s puzzle explains how to find a rule behind a given sequence of numbers and challenges readers to take on a ‘lovely’ unsolved problem.

Three computer scientists have solved a problem central to a dozen far-flung mathematical fields.

The polymath Christoph Adami is investigating life’s origins by reimagining life as self-perpetuating information strings.

Scientists are homing in on a warning signal that arises in complex systems like ecological food webs, the brain and the Earth’s climate. Could it help prevent future catastrophes?

Can you infer the simple rule behind a number sequence that spikes up and down like the beating of a heart?