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Perspectives on the unit distance problem

Larry Guth

Source record

Source: arXiv

Published: Sep 9, 2026

arXiv: 2609.10791

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Source abstract

This is a survey on an old open problem in combinatorics called the unit distance problem, and the field of mathematics around it, called incidence geometry. What do we know about the problem? Why is it difficult? How does it connect with other parts of math?

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