A cubic or orthorhobmic box would have lattice vectors of the general form
[(x,0,0),(0,y,0),(0,0,z)]
. What would be the equivalent for a truncated octahedron?
I have found one source that suggests it is
[(d,0,0),(-d/3,2/3*sqrt(2)*2,0),(-d/3,-1/3*sqrt(2)*d,-1/3*sqrt(6)*d)]
but I can't find any textbook or specific source to confirm it, and I have seen other sources show slightly different vectors forms, with similar levels of uncertainty.