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

Jaan Parts

Abstract

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

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

Abstract

The lower bound for the chromatic number of the Euclidean space of dimension 8 is increased to 25.
Paper Structure (15 sections, 1 equation, 1 table)

This paper contains 15 sections, 1 equation, 1 table.

Table of Contents

  1. We came in
  2. Preliminaries
  3. Approach.
  4. Tools.
  5. Notation.
  6. Why dont't we do it in the road?
  7. $\chi(\mathbb{Q}^8)\ge 20$.
  8. $\chi(\mathbb{Q}^8)\ge 22$.
  9. $\chi(\mathbb{Q}^8)\ge 24$.
  10. $\chi(\mathbb{Q}^8)\ge 25$.
  11. Graphs
  12. General information.
  13. Details.
  14. Computation time.
  15. Isn’t this where…