One of the oldest and simplest problems in geometry has caught mathematicians off guard—and not for the first time. Since antiquity, artists and geometers have wondered how shapes can tile the entire ...

OpenAI has published a paper claiming a proof of the rational Hodge conjecture for a special but important class of geometric ...

The total amount of money invested in the project. The total cost includes EU contribution as well as other project costs not covered by EU funding. It is expressed in euros. Amount of money, by way ...

This may sound like a familiar kind of riddle: How many brilliant mathematicians does it take to come up with and prove the Kelmans-Seymour Conjecture? But the answer is no joke, because arriving at ...

They made some progress, re-proving the conjecture in two dimensions using different techniques—ones they hoped would be applicable to the three-dimensional case. But then they hit a wall. “At some ...