Digonal double antiprismoid

The digonal double antiprismoid is a convex isogonal polychoron and the first member of the double antiprismoids that consists of 24 tetragonal disphenoids of two kinds and 32 sphenoids obtained as the convex hull of two orthogonal digonal-digonal duoantiprisms. However, it cannot be made uniform. Together with its dual, it is the first in an infinite family of digonal antiprismatic swirlchora.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$\sqrt{5=√5}$/2 ≈ 1:1.34500.

Vertex coordinates
The vertices of a digonal double antiprismoid, assuming that the two short edges have edge length 1, centered at the origin, are given by:
 * (0, ±1/2, 0, ±(1+$\sqrt{5}$)/4),
 * (±1/2, 0, ±(1+$\sqrt{5}$)/4, 0),
 * (0, ±(1+$\sqrt{5}$)/4, ±1/2, 0),
 * (±(1+$\sqrt{5}$)/4, 0, 0, ±1/2).