Pyritohedral icosahedral duoantiprism

The pyritohedral icosahedral trioantiprism is a convex isogonal polypeton that consists of 16 triangular-pyritohedral icosahedral duoantiprisms, 12 digonal-pyritohedral icosahedral duoantiprisms and 288 isosceles triangular disphenoids obtained through the process of alternating the truncated octahedral duoprism. However, it cannot be made uniform.

Vertex coordinates
The vertices of a pyritohedral icosahedral duoantiprism, assuming that the edge length differences are minimized, centered at the origin, are given by all sign changes and all even permutations of two sets of three coordinates (a, b, c) and (d, e, f) of:
 * (0, ±1/2, ±1, 0, ±1/2, ±1),
 * (0, ±1, ±1/2, 0, ±1, ±1/2).