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 ...

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

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

A general-purpose reasoning model, not a math-trained system, produced a new family of point configurations that broke Paul ...

OpenAI claims its reasoning model disproved a geometry conjecture unsolved since 1946 — and this time, the mathematicians who ...

OpenAI says its internal reasoning AI has solved a decades-old discrete geometry problem, overturning a long-held ...

Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...

OpenAI announced this week that one of its general-purpose reasoning models made a breakthrough that has grabbed the ...