Square duoantiprism

The 4-4 duoantiprism is a convex isogonal polychoron that consists of 16 square antiprisms and 32 tetragonal disphenoids obtained through the process of alternating the 8-8 duoprism. However, it cannot be made uniform.

The 4-4 duoantiprism can be vertex-inscribed into a tetradisphenoidal diacosioctacontoctachoron.

Vertex coordinates
The vertices of a 4-4 duoantiprism, created from the vertices of a 8-8 duoprism of edge length $\sqrt{4-2√2}$/2, centered at the origin, are given by:
 * (0, ±$\sqrt{2}$/2, 0, ±$\sqrt{2}$/2)
 * (0, ±$\sqrt{2}$/2, ±$\sqrt{2}$/2, 0)
 * (±$\sqrt{2}$/2, 0, 0, ±$\sqrt{2}$/2)
 * (±$\sqrt{2}$/2, 0, ±$\sqrt{2}$/2, 0)
 * (±1/2, ±1/2, ±1/2, ±1/2)