Quarter hypercubic honeycomb

Ingeometry, the quarter hypercubic honeycomb (orquarter 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 ${\displaystyle {\tilde {D}}_{n-1}}$ for n ≥ 5, with ${\displaystyle {\tilde {D}}_{4}}$ = ${\displaystyle {\tilde {A}}_{4}}$ and for quarter n-cubic honeycombs ${\displaystyle {\tilde {D}}_{5}}$ = ${\displaystyle {\tilde {B}}_{5}}$.^[1]