The chromatic number of $\mathbb{R}^8$ is at least 25
Combinatorics
2026-03-17 v1
Abstract
The lower bound for the chromatic number of the Euclidean space of dimension 8 is increased to 25.
Cite
@article{arxiv.2603.14581,
title = {The chromatic number of $\mathbb{R}^8$ is at least 25},
author = {Jaan Parts},
journal= {arXiv preprint arXiv:2603.14581},
year = {2026}
}