AxiomProver solved a real open math conjecture using formal verification, signaling a shift from AI that assists research to AI that discovers new truths.

In other words, you want to construct a polyhedral torus with faces that are shapes such as triangles or rectangles. Your peculiar-looking shape will be trickier to construct than one with a smooth ...

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 ...

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 ...

If you’ve ever played peekaboo with your little one, you’ve helped them work on object permanence. Your baby is learning that people and objects exist even when they can’t see or hear them. Object ...

Experts have confirmed that the mysterious object hurtling towards us, previously dubbed A11pl3Z, is an "interstellar object." The cosmic interloper, officially named 3I/ATLAS, is only the third of ...

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, ...