
openai.com
May 20, 2026
8 min read
76/100
Summary
An OpenAI model has disproved a central conjecture in discrete geometry For nearly 80 years, mathematicians have studied a deceptively simple question: if you place points in the plane, how many pairs of points can be exactly distance apart? This is the planar unit distance problem, first posed by Paul Erdős in 1946. It is one of the best-known questions in combinatorial geometry, easy to state an...