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 ...
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 ...
Meet “impossibagel,” a physically impossible bagel that mathematicians use to resolve intricate geometry problems. But impossibagel—and other “impossible objects” in mathematics—is notoriously ...
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, ...
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 ...
When she goes to the grocery store, Lilianna Wilde will sometimes go for the shopping cart from which everyone else steers clear, the sad-looking one with the squeaky wheel. When she puts the dishes ...
ChatGPT has already wreaked havoc on classrooms and changed how teachers approach writing homework, since OpenAI publicly launched the generative AI chatbot in late 2022. School administrators rushed ...