2 problems

Let $Q_5$ and $R_5$ denote the five-dimensional kissing configurations described in the paper. A sphere packing in $\mathbb{R}^5$ is weakly recurrent if it satisfies the recurrence…

Let $P$ be an optimal packing of unit spheres in ${\mathbb R}^4$, with one sphere designated as the central sphere, and let $N$ be the number of neighboring spheres. The 24-cell co…