Digonal-triangular duoantiprism

The digonal-triangular duoantiprism, also known as the 2-3 duoantiprism, is a convex isogonal polychoron that consists of 4 triangular antiprisms, 6 tetragonal disphenoids and 12 digonal disphenoids obtained through the process of alternating the square-hexagonal duoprism. However, it cannot be made uniform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$\sqrt{30}$/5 ≈ 1:1.09545.

Vertex coordinates
The vertices of a digonal-triangular duoantiprism, assuming that the triangular antiprisms are uniform of edge length 1, centered at the origin, are given by: with all even changes of sign, and with all odd changes of sign except for the first coordinate.
 * (0, $\sqrt{3}$/3, $\sqrt{6}$/6, $\sqrt{6}$/6),
 * (±1/2, $\sqrt{3}$/6, $\sqrt{6}$/6, $\sqrt{6}$/6).

An alternate set of coordinates, assuming that the edge length differences are minimized, centered at the origin, are given by: with all even changes of sign, and with all odd changes of sign except for the first coordinate.
 * (0, $\sqrt{3}$/3, $\sqrt{2}$/4, $\sqrt{2}$/4),
 * (±1/2, $\sqrt{3}$/6, $\sqrt{2}$/4, $\sqrt{2}$/4).