Digonal-hexagonal duoantiprism

The digonal-hexagonal duoantiprism, also known as the 2-6 duoantiprism, is a convex isogonal polychoron that consists of 4 hexagonal antiprisms, 12 tetragonal disphenoids and 24 digonal disphenoids obtained through the process of alternating the square-dodecagonal duoprism. However, it cannot be made uniform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$\sqrt{130+52√3}$/13 ≈ 1:1.14113.

Vertex coordinates
The vertices of a digonal-hexagonal duoantiprism, assuming that the hexagonal antiprisms are uniform of edge length 1, centered at the origin, are given by:
 * (0, ±1, $\sqrt{{{radic|3}}-1}$/2, $\sqrt{{{radic|3}}-1}$/2),
 * (0, ±1, -$\sqrt{{{radic|3}}-1}$/2, -$\sqrt{{{radic|3}}-1}$/2),
 * (±$\sqrt{3}$/2, ±1/2, $\sqrt{{{radic|3}}-1}$/2, $\sqrt{{{radic|3}}-1}$/2),
 * (±$\sqrt{3}$/2, ±1/2, -$\sqrt{{{radic|3}}-1}$/2, -$\sqrt{{{radic|3}}-1}$/2),
 * (±1, 0, $\sqrt{{{radic|3}}-1}$/2, -$\sqrt{{{radic|3}}-1}$/2),
 * (±1, 0, -$\sqrt{{{radic|3}}-1}$/2, $\sqrt{{{radic|3}}-1}$/2),
 * (±1/2, ±$\sqrt{3}$/2, $\sqrt{{{radic|3}}-1}$/2, -$\sqrt{{{radic|3}}-1}$/2),
 * (±1/2, ±$\sqrt{3}$/2, -$\sqrt{{{radic|3}}-1}$/2, $\sqrt{{{radic|3}}-1}$/2).

An alternate set of coordinates, assuming that the edge length differences are minimized, centered at the origin, are given by:
 * (0, ±1, $\sqrt{2}$/4, $\sqrt{2}$/4),
 * (0, ±1, -$\sqrt{2}$/4, -$\sqrt{2}$/4),
 * (±$\sqrt{3}$/2, ±1/2, $\sqrt{2}$/4, $\sqrt{2}$/4),
 * (±$\sqrt{3}$/2, ±1/2, -$\sqrt{2}$/4, -$\sqrt{2}$/4),
 * (±1, 0, $\sqrt{2}$/4, -$\sqrt{2}$/4),
 * (±1, 0, -$\sqrt{2}$/4, $\sqrt{2}$/4),
 * (±1/2, ±$\sqrt{3}$/2, $\sqrt{2}$/4, -$\sqrt{2}$/4),
 * (±1/2, ±$\sqrt{3}$/2, -$\sqrt{2}$/4, $\sqrt{2}$/4).