Grand rhombic disicositetrachoron

The grand rhombic disicositetrachoron, or gardi, is a nonconvex uniform polychoron that consists of 24 small rhombihexahedra and 24 great rhombicuboctahedra. Two small rhombihexahedra and four great rhombicuboctahedra join at each vertex.

It can be constructed as the blend of 3 small rhombiprismic tesseractihexadecachora, with the cubohemioctahedron cells blending out and the octagonal prisms blending into small rhombihexahedra.

Vertex coordinates
The vertices are the same as those of the regiment colonel, the small rhombated icositetrachoron.