It is constructed as an alternation of the regular 8-cubic honeycomb.
The vertex arrangement of the 8-demicubic honeycomb is the D8 lattice.
[1] The 112 vertices of the rectified 8-orthoplex vertex figure of the 8-demicubic honeycomb reflect the kissing number 112 of this lattice.
At 8-dimensions, the 240 contacts contain both the 27=128 from lower dimension contact progression (2n-1), and 16*7=112 from higher dimensions (2n(n-1)).
The D*8 lattice (also called D48 and C28) can be constructed by the union of all four D8 lattices:[6] It is also the 7-dimensional body centered cubic, the union of two 7-cube honeycombs in dual positions.
[8] There are three uniform construction symmetries of this tessellation.
Each symmetry can be represented by arrangements of different colors on the 256 8-demicube facets around each vertex.