Hexadecahemihexadecachoron

The hexadecahemihexadecachoron, or huhoh, is a nonconvex uniform polychoron. It consists of 16 tetrahemihexahedra and 8 central cubohemioctahedra, with 4 tetrahemihexahedra and 4 cubohemioctahedra 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.