Small rhombated hexadecachoron

The small rhombated hexadecachoron is a convex semi-uniform polychoron that is a variant of the rectified icositetrachoron with tesseractic symmetry. As such it can be represented by o4y3o3x, and has 8 cuboctahedra of size y, 16 rhombitetratetrahedra of type x3o3y, and 24 square prisms of type x y4o as cells, with two edge lengths.

Vertex coordinates
A small rhombated hexadecachoron with edge lengths a and b has vertices given by all permutations of:


 * $$\left(±(a+b)\frac{\sqrt2}{2},\,±(a+b)\frac{\sqrt2}{2},\,±b\frac{\sqrt2}{2},\,0\right).$$