For nearly 80 years, mathematicians have struggled to solve a classic geometry puzzle first posed by Paul Erdős in 1946: the planar unit distance problem. The question posed by the legendary Hungarian ...

For nearly 80 years, mathematicians have struggled to solve a classic geometry puzzle first posed by Paul Erdős in 1946: the planar unit distance problem. The question posed by the legendary Hungarian ...

OpenAI's AI model solved the unit distance problem posed by Paul Erdos in 1946 The AI found a counterexample disproving Erdos's conjecture on unit-distance pairs The solution shows unit-distance pairs ...

Vietnam is demolishing graves and moving its dead to make way for a Trump Organization golf course. The Financial Times reported that a gravesite in the Chau Ninh commune of the Hung Yen province has ...

Place any number of dots on a two-dimensional plane—say, a piece of paper—and measure the distance between each pair. If you rearrange the dots, how many pairs could be positioned exactly the same ...

Last week, OpenAI shocked the mathematical community by revealing that one of its internal artificial intelligence (AI) models had found a counterexample to a famous conjecture made by legendary ...

Gov. Jared Polis is term-limited from seeking re-election, leaving an open seat that has attracted at least two prominent Democrats and even more Republican candidates. With Democratic Gov. Laura ...

“If you are a mathematician,” one of the world’s leading mathematicians recently wrote, “you may want to make sure you are sitting down before reading further.” And you’ll definitely need to sit down ...

If you’re worried about artificial intelligence getting so advanced that it eventually traps humanity in some sort of Matrix-like simulation, rest easy. It seems like you’ll be able to see through the ...

William Fennell says he should not have to put up with the number of stray golf balls that hit his property A father who lives next to a golf course is bemoaning the number of wayward balls that hit ...

Technology Artificial Intelligence OpenAI's internal AI model just solved an 80-year-old math problem ‪—‬ and mathematicians verified it The closest the field has come to solving the planar unit ...