Triangular double chiroantiprismoid

The triangular double chiroantiprismoid is a convex isogonal polychoron and the second member of the double chiroantiprismoids that consists of 12 triangular antiprisms, 72 phyllic disphenoids of two kinds and 72 irregular tetrahedra. However, it cannot be made uniform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\frac{\sqrt{54+6\sqrt15}}{6}$$ ≈ 1:1.46475.

Vertex coordinates
The vertices of a triangular double chiroantiprismoid, assuming that the edge length differences are minimized using the ratio method, centered at the origin, are given by:
 * ±(0, $\sqrt{3}$/3, 0, (3+$\sqrt{15}$)/6),
 * ±(0, $\sqrt{3}$/3, ±$\sqrt{8+2√15}$/4, -(3+$\sqrt{15}$)/12),
 * ±(±1/2, -$\sqrt{3}$/6, 0, (3+$\sqrt{15}$)/6),
 * ±(±1/2, -$\sqrt{3}$/6, ±$\sqrt{8+2√15}$/4, -(3+$\sqrt{15}$)/12),
 * ±((3+$\sqrt{15}$)/6, 0, $\sqrt{3}$/3, 0),
 * ±((3+$\sqrt{15}$)/6, 0, -$\sqrt{3}$/6, ±1/2),
 * ±(-(3+$\sqrt{15}$)/12, ±$\sqrt{8+2√15}$/4, $\sqrt{3}$/3, 0),
 * ±(-(3+$\sqrt{15}$)/12, ±$\sqrt{8+2√15}$/4, -$\sqrt{3}$/6, ±1/2),