Quarter hypercubic honeycomb

In geometry, the quarter hypercubic honeycomb (or quarter n-cubic honeycomb) is a dimensional infinite series of honeycombs, based on the hypercube honeycomb. It is given a Schläfli symbol q{4,3...3,4} or Coxeter symbol qδ₄ representing the regular form with three quarters of the vertices removed and containing the symmetry of Coxeter group D ~ n − 1 for n ≥ 5, with D ~ 4 = A ~ 4 and for quarter n-cubic honeycombs D ~ 5 = B ~ 5 .