Small hexadecahemihexadecachoron

The small hexadecahemihexadecachoron, or shahoh, is a nonconvex uniform polychoron. It consists of 16 octahedra and 8 central octahemioctahedra, with 4 octahedra and 4 octahemioctahedra at each vertex.

As well as being isogonal, it is also isotoxal.

Vertex coordinates
Its vertices are the same as those of its regiment colonel, the icositetrachoron.