Amateur Mathematician Finds Smallest Universal Cover
Through exacting geometric calculations, Philip Gibbs has found the smallest known cover for any possible shape.
Without a Proof, Mathematicians Wonder How Much Evidence Is Enough
A new statistical model appears to undermine long-held assumptions in number theory. How much should it be trusted when all that really matters is proof?
Machine Learning Confronts the Elephant in the Room
A visual prank exposes an Achilles’ heel of computer vision systems: Unlike humans, they can’t do a double take.
Why Mathematicians Can’t Find the Hay in a Haystack
In math, sometimes the most common things are the hardest to find.
Universal Method to Sort Complex Information Found
The nearest neighbor problem asks where a new point fits into an existing data set. A few researchers set out to prove that there was no universal way to solve it. Instead, they found such a way.
An Innovator Who Brings Order to an Infinitude of Equations
The mathematician Caucher Birkar was born on a subsistence farm and raised in the middle of the brutal war between Iran and Iraq. After fleeing to England, he has gone on to impose order on a wild landscape of mathematical equations.