[1] The 60 vertices of the rectified 6-orthoplex vertex figure of the 6-demicubic honeycomb reflect the kissing number 60 of this lattice.
[3] The D*6 lattice (also called D46 and C26) can be constructed by the union of all four 6-demicubic lattices:[4] It is also the 6-dimensional body centered cubic, the union of two 6-cube honeycombs in dual positions.
Each symmetry can be represented by arrangements of different colors on the 64 6-demicube facets around each vertex.
Coxeter group, all but 6 repeated in other families by extended symmetry, seen in the graph symmetry of rings in the Coxeter–Dynkin diagrams.
The 41 permutations are listed with its highest extended symmetry, and related