Grand hexadecagonal prismatic blend

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

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

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