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PreprintCC BY-NC-ND 4.0arXiv

Perspectives on the unit distance problem

  • Larry Guth
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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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Cite

BibTeXRIS
BibTeX
@misc{guth2026perspectives,
  title = {{Perspectives on the unit distance problem}},
  author = {Larry Guth},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.10791},
  eprint = {2609.10791},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.10791},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Perspectives on the unit distance problem
AU  - Larry Guth
PY  - 2026
DA  - 2026/09/09
PB  - arXiv
DO  - 10.48550/arxiv.2609.10791
UR  - https://arxiv.org/abs/2609.10791
AB  - 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?
ER  -