Small hexadecagonal prismatic blend

The  is an orbiform polyhedron. It consists of 6 hexadecagons and 36 squares. It can be obtained by blending 3 hexadecagonal prisms together.

It appears as a cell in the small small prismatodistetracontoctachoron and the great small prismatodistetracontoctachoron.

Vertex coordinates
The vertex coordinates for a of unit length are given by all permutations of:
 * $$\left(\pm\frac12,\,\pm\frac{1+\sqrt2+\sqrt{4+2\sqrt2}}{2},\,\pm\frac12\right),$$
 * $$\left(\pm\frac{1+\sqrt{2+\sqrt2}}{2},\,\pm\frac{1+\sqrt2+\sqrt{2+\sqrt2}}{2},\,\pm\frac12\right).$$