In the third century BCE, Apollonius of Perga asked how many circles one could draw that would touch three given circles at exactly one point each. It would take 1,800 years to prove the answer: eight ...
Google researchers have developed an artificial intelligence (AI) math system that can out-smart gold medalists in international geometry competitions. The system, called "AlphaGeometry2" (AG2), is an ...
In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in ...
OpenAI claims its model solved a famous geometry problem that has eluded the world’s greatest mathematicians for 80 years — a breakthrough hailed as evidence of the bot’s creativity and “intuition.” ...
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 ...
A chatbot’s result for the 80-year-old “unit distance” conjecture is the first AI proof that would likely be published in ...
OpenAI's AI model solved the famous unit distance problem, a question that had challenged mathematicians since 1946 ...
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.
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