the d lattice (also called d) can be constructed by the union of two d8 lattices. this packing is only a lattice for even dimensions. the kissing number is 240. (2 for n<8, 240 for n=8, and 2n(n-1) for n>8). it is identical to the e8 lattice. at 8-dimensions, the 240 contacts contain both the 2=128 from lower dimension contact progression (2), and 16*7=112 from higher dimensions (2n(n-1)).