D₅ root lattice

A. Korkine and G. Zolotareff, Sur les formes quadratiques, Math. Ann. 6 (1873), 366–389, doi:10.1007/BF01442795.

This packing consists of a lattice in 5 dimensions. A Gram matrix for the lattice is given below as comma-separated values. See the table of densities for how this packing compares with other dimensions.

5 × 5 Gram matrix

2,1,-1,1,1
1,2,-1,1,1
-1,-1,2,0,0
1,1,0,2,1
1,1,0,1,2