 It is constructed by 3 copies of the E6 lattice vertices, one from each of the three branches of the Coxeter diagram.The formula_1 group is related to the formula_2 by a geometric folding, so this honeycomb can be projected into the 4-dimensional 16-cell honeycomb.The 222 honeycomb is one of 127 uniform honeycombs (39 unique) with formula_1 symmetry.