A glimpse of Level 4? OpenAI model helps challenge an 80-year-old math assumption

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An OpenAI model has autonomously solved the planar unit distance problem, a famous open mathematics question from 1946, disproving an 80-year-old assumption and achieving a first for AI.

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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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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The Erdős Breakthrough

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An OpenAI model has autonomously solved the planar unit distance problem, a famous open question in mathematics posed by Paul Erdős in 1946, by discovering a new family of constructions that outperform square grids. This marks the first time AI has autonomously proven a prominent open problem in mathematics.