@OpenAI: This result points to something larger: AI systems are becoming capable of holding together long, difficult chains of r…
Summary
OpenAI has achieved a breakthrough in mathematics: an AI model autonomously solved the planar unit distance problem, a famous open question from 1946, by discovering a new family of constructions that outperform square grids. This marks the first time AI has independently solved a prominent open problem in mathematics.
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Cached at: 05/20/26, 08:37 PM
Today, we share a breakthrough on the planar unit distance problem, a famous open question first posed by Paul Erdős in 1946.
For nearly 80 years, mathematicians believed the best possible solutions looked roughly like square grids.
An OpenAI model has now disproved that belief, discovering an entirely new family of constructions that performs better.
This marks the first time AI has autonomously solved a prominent open problem central to a field of mathematics.
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