Your browser does not support the audio element. In January 2025 I was in Santa Clara, California writing some JavaScript to perform some reporting. I wanted to be ...

A Mathematician with early access to XAI Grok 4.20, found a new Bellman function for one of the problems he had been working on with my student N. Alpay. Not an Erdős problem, but original research.

There is a rule in mathematics that feels so obvious it barely seems worth stating. Yet accepting it leads to objects with no size, spheres that duplicate themselves, and sets that cannot be measured ...

When a delicate object crashes onto the floor, most people expect it to shatter into several pieces. What they might not know, however, is that the sizes of those fragments—whether from a broken plate ...

Here’s what you’ll learn when you read this story: Object Arjuna 2025 PN7 was thought to be a meteorite in an Earthlike orbit, but that is now being questioned. The new hypothesis suggests that 2025 ...

3I/ATLAS, a mysterious interstellar object racing toward the Sun, is baffling scientists with its speed and origin. Some researchers suggest it could even be alien-made, drawing comparisons to probes ...

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...

When most people think of shapes, they imagine a triangle, a rectangle, or maybe even a fancier-sounding rhombus or trapezoid. But to mathematicians, shapes encompass a vast universe of surprising ...

Locomotion, the ability to move from one place to another, is an essential survival strategy for virtually every organism. Adapting to the unpredictable terrain they run into, cells, fungi and ...

We’re seeing some new developments in AI models that are shedding light on one of the technology’s most prominent gaps – its relative inability to do math well. Some experts note that AI is ...