Towards a proof of the 24-cell conjecture |
| |
Authors: | O R Musin |
| |
Institution: | 1.School of Mathematical and Statistical Sciences,University of Texas Rio Grande Valley, One West University Boulevard,Brownsville,USA |
| |
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 lattice packing D4 is the densest sphere packing in 4 dimensions. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|