This year has seen some amazing advancements in fundamental mathematics. Researchers have made breakthroughs in geometry, topology, chaos theory, and more. And a startling three of our top 10 ...

In the third century BCE, Apollonius of Perga asked how many circles one could draw that would touch three given circles at exactly one point each. It would take 1,800 years to prove the answer: eight ...

Poland shoots down Russian drones as Ukraine warns Putin is ‘testing the West’ Democrats react as Republican majority shrinks after special election Police say they seized 23 guns from the home of a ...

American high-school seniors’ scores on major math and reading tests fell to their lowest levels on record, according to results released Tuesday by the U.S. Education Department. Twelfth-graders’ ...

Ever wonder how much energy it takes when you ask an AI to draft an email, plan a vacation, or role-play as a friend? Google just shed some light: The company calculated the energy, water, and carbon ...

Can you imagine the imprint a four-dimensional hexagon might leave as it passes through your three-dimensional kitchen table? Probably not, but some people can. One such person was mathematician ...

McKinsey & Co.’s consultants are increasingly drafting proposals and making PowerPoint slides using the firm’s generative artificial intelligence platform, which has developed enough to take over at ...

McKinsey developed an internal AI tool called Lilli, which it released in 2023. Lilli helps with tasks usually completed by junior employees, like PowerPoint presentations. Now the firm reports that ...

Crows are able to look at a handful of four-sided shapes and correctly distinguish those that exhibit geometric regularity from those that don't, according to a provocative new study. It's the first ...

It’s no fun being a Cassandra. That’s the shorthand term, inspired by a figure from Greek mythology, describing a person whose accurate prophecies — often foretelling disaster — are discounted and ...

It’s a bright day for computing — literally. Two tech companies have unveiled computer components that use laser light to process information. These futuristic processors could soon solve specific ...