It may be hard to believe, but mathematicians are still discovering shapes. The latest three-dimensional example is far stranger than your standard cube or pyramid. Dubbed the genus-3 polyhedron by Ruslan Mizhaev, the independent researcher’s newly identified shape features eight faces arranged so that every pair shares at least one edge. The end result is
The Parthenon is undeniably one of history’s most renowned architectural feats,but one detail of its structural genius is a total hoax. For over 2,000 years, scholars and admirers have alleged that the ancient Greek building’s nearly imperceptible curves were specifically crafted to compensate for optical illusions that would otherwise ruin the structure’s clean lines. But
Mathematician and author Steven Strogatz starts to cry when he talks about the artificial-intelligence-driven breakthroughs in his field over the past week. “The science is thrilling,” the Cornell University professor says, “but there’s a lot of human unpleasantness going with it.” On Tuesday, OpenAI said it had used tens of thousands of agents to solve
The latest math problem OpenAI is trying to solve is a bunch of angry mathematicians. A researcher at OpenAI said on Thursday that the ChatGPT maker is no longer sponsoring Caltech’s “math hackathon,” an event where participants use large language models to solve research problems. OpenAI’s exit follows an open letter released on Wednesday from
Credit: Smithsonian Institution Archives Heisuke Hironaka, a prominent figure in algebraic geometry, was renowned for his landmark 1964 proof of the “resolution of singularities”. His work provides a way to unravel complicated phenomena in geometric objects, such as cusps, spikes and self-intersections. This fundamental result is a standard ingredient in research across a wide swathe
Ukrainian forces are taking some of the ground robots designed for assault missions and repurposing them for logistics as they face shortages of these critical machines, unit commanders told Business Insider. Front-line logistics have become increasingly difficult in Ukraine as drones constantly monitor the battlefield. Supply runs can be deadly for soldiers, so a growing
