Square antiprismatic prism

The square antiprismatic prism or squappip is one of the uniform polychora made as the prism product of a uniform polyhedron and a dyad that consists of 2 square antiprisms, 2 cubes and 8 triangular prisms

Vertex coordinates
The vertices of a square antiprismatic prism of edge length 1 are given by:
 * (±1/2, ±1/2, $\sqrt{2}$/4, ±1/2),
 * (0, ±$\sqrt{2}$/2, –$\sqrt{2√2}$/4, ±1/2),
 * (±$\sqrt{2}$/2, 0, –$\sqrt{2√2}$/4, ±1/2).