Hexagonal antiprismatic prism

The hexagonal antiprismatic prism or happip is one of the uniform polychora made as the prism product of a uniform polyhedron and a dyad that consists of 2 hexagonal antiprisms, 2 hexagonal prisms and 12 triangular prisms.

Vertex coordinates
The vertices of a hexagonal antiprismatic prism of edge length 1 are given by:
 * (0, ±1, $\sqrt{3}$/2, ±1/2)
 * (±$\sqrt{2}$/2, ±1/2, $\sqrt{{{radic|3}}-1}$/2, ±1/2)
 * (±1, 0, –$\sqrt{3}$/2, ±1/2)
 * (±1/2, ±$\sqrt{{{radic|3}}-1}$/2, –$\sqrt{{{radic|3}}-1}$/2, ±1/2)