Triangular-square duoantiprism

The triangular-square duoantiprism, also known as the 3-4 duoantiprism, is a convex isogonal polychoron that consists of 6 square antiprisms, 8 triangular antiprisms and 24 digonal disphenoids obtained through the process of alternating the hexagonal-octagonal duoprism. However, it cannot be made uniform.

Vertex coordinates
The vertices of a triangular-square duoantiprism, assuming that the square antiprisms are regular of edge length 1, centered at the origin, are given by:
 * (±1/2, ±1/2, 0, $\sqrt$/2)
 * (±1/2, ±1/2, ±$\sqrt$/4, -$\sqrt$/4)
 * (0, ±$\sqrt{2}$/2, 0, -$\sqrt$/2)
 * (0, ±$\sqrt{2}$/2, ±$\sqrt$/4, $\sqrt$/4)
 * (±$\sqrt{2}$/2, 0, 0, -$\sqrt$/2)
 * (±$\sqrt{2}$/2, 0, ±$\sqrt$/4, $\sqrt$/4)