Digonal-pentagonal duoantiprism

The digonal-pentagonal duoantiprism, also known as the 2-5 duoantiprism, is a convex isogonal polychoron that consists of 4 pentagonal antiprisms, 10 tetragonal disphenoids and 20 digonal disphenoids obtained through the process of alternating the square-decagonal duoprism. However, it cannot be made uniform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$\sqrt{380+38√5}$/19 ≈ 1:1.13490.

Vertex coordinates
The vertices of a digonal-pentagonal duoantiprism, assuming that the pentagonal antiprisms are uniform of edge length 1, centered at the origin, are given by: with all even changes of sign except for the first coordinate, and with all odd changes of sign except for the first coordinate.
 * (0, $\sqrt{50+10√5}$/10, $\sqrt{50+10√5}$/20, $\sqrt{50+10√5}$/20)
 * (±(1+$\sqrt{5}$)/4, $\sqrt{50-10√5}$/20, $\sqrt{50+10√5}$/20, $\sqrt{50+10√5}$/20)
 * (±1/2, $\sqrt{25+10√5}$/10, $\sqrt{50+10√5}$/20, $\sqrt{50+10√5}$/20)

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 except for the first coordinate, and with all odd changes of sign except for the first coordinate.
 * (0, $\sqrt{50+10√5}$/10, $\sqrt{2}$/4, $\sqrt{2}$/4)
 * (±(1+$\sqrt{5}$)/4, $\sqrt{50-10√5}$/20, $\sqrt{2}$/4, $\sqrt{2}$/4)
 * (±1/2, $\sqrt{25+10√5}$/10, $\sqrt{2}$/4, $\sqrt{2}$/4)