Digonal-hexagonal triprismantiprismoid

The digonal-hexagonal triprismantiprismoid is a convex isogonal polychoron that consists of 6 rectangular antiprisms, 6 rhombic disphenoids, 12 digonal-rectangular gyrowedges and 12 phyllic disphenoids obtained as a subsymmetrical faceting of the hexagonal-dodecagonal duoprism. However, it cannot be made scaliform.

Vertex coordinates
The vertices of a digonal-hexagonal triprismantiprismoid, assuming that the rhombic disphenoids are tetragonal disphenoids and are connected by squares of edge length 1, centered at the origin, are given by:
 * ±($\sqrt{3}$/4, 1/4, 1/4, (4+$\sqrt{3}$)/4),
 * ±(-$\sqrt{3}$/4, -1/4, 1/4, (4+$\sqrt{3}$)/4),
 * ±($\sqrt{3}$/4, -1/4, -1/4, (4+$\sqrt{3}$)/4),
 * ±(-$\sqrt{3}$/4, 1/4, -1/4, (4+$\sqrt{3}$)/4),
 * ±($\sqrt{3}$/4, 1/4, (1+2$\sqrt{3}$)/4, (2+$\sqrt{3}$)/4),
 * ±(-$\sqrt{3}$/4, -1/4, (1+2$\sqrt{3}$)/4, (2+$\sqrt{3}$)/4),
 * ±($\sqrt{3}$/4, -1/4, -(1+2$\sqrt{3}$)/4, (2+$\sqrt{3}$)/4),
 * ±(-$\sqrt{3}$/4, 1/4, -(1+2$\sqrt{3}$)/4, (2+$\sqrt{3}$)/4),
 * ±(0, 1/2, (1+$\sqrt{3}$)/2, 1/2)
 * ±(0, -1/2, (1+$\sqrt{3}$)/2, 1/2),
 * ±(0, 1/2, -(1+$\sqrt{3}$)/2, 1/2),
 * ±(0, -1/2, -(1+$\sqrt{3}$)/2, 1/2).