The chromatic number of $\mathbb{R}^8$ is at least 25

TL;DR

This paper establishes a new lower bound of 25 for the chromatic number of 8-dimensional Euclidean space, advancing understanding of coloring problems in higher dimensions.

Contribution

It improves the known lower bound for the chromatic number of -dimensional Euclidean space from previous values to at least 25.

Findings

Lower bound for -dimensional space increased to 25

Advances in geometric coloring bounds

Improved understanding of high-dimensional coloring complexity

Abstract

The lower bound for the chromatic number of the Euclidean space of dimension 8 is increased to 25.