Great triangular double gyroprismantiprismoid

The great triangular double prismantiprismoid is a convex isogonal polychoron and the second member of the double prismantiprismoid family. It consists of 12 triangular antiprisms, 12 triangular prisms, 36 wedges, 72 isosceles trapezoidal pyramids, 36 tetragonal disphenoids of two kinds, and 36 digonal disphenoids. 1 triangular antiprism, 1 triangular prism, 3 wedges, 5 isosceles trapezoidal pyramids, 2 tetragonal disphenoids, and 2 rhombic disphenoids join at each vertex. It can be obtained as the convex hull of two orthogonal triangular-hexagonal prismantiprismoids. However, it cannot be made scaliform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\frac{\sqrt{6+3\sqrt3}}{2}$$ ≈ 1:1.67303.