B7 polytope (original) (raw)

In 7-dimensional geometry, there are 128 uniform polytopes with B7 symmetry. There are two regular forms, the 7-orthoplex, and 8-cube with 14 and 128 vertices respectively. The 7-demicube is added with half of the symmetry. They can be visualized as symmetric orthographic projections in Coxeter planes of the B7 Coxeter group, and other subgroups.