there are many different wythoff constructions of this honeycomb. the most symmetric form is regular, with schläfli symbol {4,3,4}. another form has two alternating 7-cube facets (like a checkerboard) with schläfli symbol {4,3,3}. the lowest symmetry wythoff construction has 128 types of facets around each vertex and a prismatic product schläfli symbol {∞}.