OpenAI claims its reasoning model disproved a geometry conjecture unsolved since 1946 — and this time, the mathematicians who exposed its last embarrassing claim are backing it up.

The result is correct but challenges core norms of mathematics: checking proofs, crediting ideas and keeping research open to ...

A chatbot’s result for the 80-year-old “unit distance” conjecture is the first AI proof that would likely be published in math’s top journal if humans had done it alone ...

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The math world is losing its mind over the new solution to an Erdős problem. This is what AI found, how we missed it—and why it matters.

Carnegie Mellon University computer scientists and mathematicians have resolved the last, stubborn piece of Keller's conjecture, a geometry problem that scientists have puzzled over for 90 years. By ...

OpenAI's AI disproved the Erdős unit distance conjecture, an 80-year-old geometry problem. Days later, Google DeepMind solved 9 more Erdős problems ...

Equiangular lines are lines in space that pass through a single point, and whose pairwise angles are all equal. Picture in 2D the three diagonals of a regular hexagon, and in 3D, the six lines ...

Google’s latest milestone comes just days after OpenAI said one of its AI models cracked the famous “planar unit distance problem”, which had been unsolved for the last 80 years.

Computers are working to solve an age-old geometry problem. Humans can’t “square the circle” by hand, which was proven in the 1800s. Computer solutions involve infinity, complexity, and some ...

The following is an excerpt from The Gravity of Math: How Geometry Rules the Universe by Steve Nadis and Shing-Tung Yau. Copyright 2024. Available from Basic Books ...