Icositetrachoric antiprism

The icositetrachoric antiprism or icoap is a convex scaliform polyteron that consists of 2 triangular duoprisms and 12 triangular prismatoantiwedges.

Vertex coordinates
The vertices of an icositetrachoric antiprism of edge length 1 are given by all permutations and sign changes except the last coordinate of:
 * (0, 0, 0, 1, -$\sqrt{3+√2}$/2)
 * (1/2, 1/2, 1/2, 1/2, -$\sqrt{{{radic|2}}-1}$/2)
 * (0, 0, $\sqrt{{{radic|2}}-1}$/2, $\sqrt{2}$/2, $\sqrt{2}$/2)