Alpöge’s discovery is the latest in a string of high-profile mathematical breakthroughs made by large language models. Recent examples include OpenAI’s disproof of the unit distance conjecture, and ...

The unique geometric understanding of humans has been attributed to an evolutionary divide in symbolic cognition that distinguishes us from monkeys. We investigated how monkeys, preschoolers, and ...

"What is the discipline of geometry?" The answer to this question has been rewritten many times throughout history. For Euclid, geometry was proof; for Descartes, it was equations; and for Riemann, it ...

Gear-obsessed editors choose every product we review. We may earn commission if you buy from a link. Why Trust Us? For decades, neuroscience has charted the map of consciousness. It identified neurons ...

On May 20, 2026, OpenAI announced that its internal AI model had disproven a long-held prediction regarding the 'unit distance problem,' a central unsolved problem in discrete geometry. The unit ...

Attackers are increasingly abandoning loud, disruptive attacks in favor of long-term, undetected infiltration. To support this shift toward stealth, malware developers are aggressively advancing their ...

It’s no secret that many of us are not too fond of mathematics and geometry, and that it is often too complex. But even so, it can be pretty mind-blowing to look back in history and discover the ...

While the world's leading artificial intelligence companies race to build ever-larger models, betting billions that scale alone will unlock artificial general intelligence, a researcher at one of the ...

Time modeling has been a fundamental aspect of various scientific disciplines, with significant implications for both theoretical and applied research. Leibniz’ various discussions of relationalism ...

Nearly twenty years after I graduated high school and my last calculus class, I still get that nightmare where I’m at the exam for a calculus course I somehow forgot to attend, or that I faked my way ...