The closest the field has come to solving the planar unit distance problem, first proposed in the 1940s, was in 1984. Now, OpenAI claims an internal model has cracked the puzzle.

Winter does not wait for energy markets. When the temperature drops, livestock barns need steady heat even if the farm is miles from the nearest gas line. A research team in northern Italy has ...

Against the backdrop of accelerated glacier melting caused by global warming, dynamic monitoring of glacial lake water quality has become an important topic in environmental science. There is a ...

For nearly 80 years, mathematicians have struggled to solve a classic geometry puzzle first posed by Paul Erdős in 1946: the ...

An 80-year-old challenge in geometry has been cracked by an artificial-intelligence chatbot after a single prompt from mathematicians at the technology firm OpenAI. The company, based in San Francisco ...

The puzzle poses a deceptively simple question that boils down to: How many pairs of dots on a piece of paper can be the same ...

A chatbot’s result for the 80-year-old “unit distance” conjecture is the first AI proof that would likely be published in ...

OpenAI has revealed a breakthrough proof that overturns a nearly 80-year-old geometry conjecture posed by Paul Erdős.

South Africa’s housing crisis is no longer simply about how many homes are being built, but whether the country’s outdated ...

With a few instructional shifts, teachers can create classrooms that better encourage confidence and academic growth.

For Jessica Wynne, there’s a unique beauty in the way mathematicians express themselves on a chalkboard (or blackboard, as it’s also known). It represents a very different experience from using a ...

If your garden soil lacks acidity, you can correct the imbalance with this safe, affordable, and widely available addition.