Towards a proof of the 24-cell conjecture
Metric Geometry
2018-06-26 v3 Combinatorics
Abstract
This review paper is devoted to the problems of sphere packings in 4 dimensions. The main goal is to find reasonable approaches for solutions to problems related to densest sphere packings in 4-dimensional Euclidean space. We consider two long-standing open problems: the uniqueness of maximum kissing arrangements in 4 dimensions and the 24-cell conjecture. Note that a proof of the 24-cell conjecture also proves that the checkerboard lattice packing D4 is the densest sphere packing in 4 dimensions.
Cite
@article{arxiv.1712.04099,
title = {Towards a proof of the 24-cell conjecture},
author = {Oleg R. Musin},
journal= {arXiv preprint arXiv:1712.04099},
year = {2018}
}
Comments
19 pages