Triangular-hexagonal prismantiprismoid

The triangular-hexagonal prismantiprismoid, also known as the edge-snub triangular-hexagonal duoprism or 3-6 prismantiprism, is a convex isogonal polychoron that consists of 6 ditrigonal trapezoprisms, 6 triangular antiprisms, 6 triangular prisms and 18 wedges obtained through the process of edge-alternating the hexagonal-dodecagonal duoprism. However, it cannot be made uniform.

Vertex coordinates
The vertices of a triangular-hexagonal prismantiprismoid, assuming that the triangular antiprisms and triangular prisms are uniform of edge length 1, centered at the origin, are given by:
 * (0, $\sqrt{3}$/3, ±1/2, $\sqrt{51+36√2}$/6)
 * (0, $\sqrt{3}$/3, ±(2+$\sqrt{2}$)/2, -$\sqrt{6}$/6)
 * (0, $\sqrt{3}$/3, ±(1+$\sqrt{2}$)/2, -$\sqrt{33+18√2}$/6)
 * (0, -$\sqrt{3}$/3, ±1/2, -$\sqrt{51+36√2}$/6)
 * (0, -$\sqrt{3}$/3, ±(2+$\sqrt{2}$)/2, $\sqrt{6}$/6)
 * (0, -$\sqrt{3}$/3, ±(1+$\sqrt{2}$)/2, $\sqrt{33+18√2}$/6)
 * (±1/2, -$\sqrt{3}$/6, ±1/2, $\sqrt{51+36√2}$/6)
 * (±1/2, -$\sqrt{3}$/6, ±(2+$\sqrt{2}$)/2, -$\sqrt{6}$/6)
 * (±1/2, -$\sqrt{3}$/6, ±(1+$\sqrt{2}$)/2, -$\sqrt{33+18√2}$/6)
 * (±1/2, $\sqrt{3}$/6, ±1/2, -$\sqrt{51+36√2}$/6)
 * (±1/2, $\sqrt{3}$/6, ±(2+$\sqrt{2}$)/2, $\sqrt{6}$/6)
 * (±1/2, $\sqrt{3}$/6, ±(1+$\sqrt{2}$)/2, $\sqrt{33+18√2}$/6)