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.

Visually, the “Klein bottle” doesn’t seem all that impressive. On first glance it looks like a trendy Japandi-style vase. And yet it has fascinated mathematicians for more than 140 years. To ...

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 ...

A 3D random walk can get very complicated very quickly, as shown in this simulation. Image credit: Tsvi Tlusty (Ulsan National Institute of Science and Technology, Ulsan, South Korea) and Jean-Pierre ...

SPONSORED – Mathnasium is offering a unique approach to learning math as students head back to school this fall. The math learning center provides a different approach to learning math compared to ...

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, ...

Bill Clinton on opposing President Trump's agenda: "We cannot throw the legacy of this country away" How Often Should I Change Synthetic Oil? How to hard boil eggs without using water NAACP Demands ...

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 ...