Digonal-square truncatoprismantiprismoid

The digonal-square truncatoprismantiprismoid is a convex isogonal polychoron that consists of 4 ditetragonal prisms, 4 ditetragonal trapezoprisms, 8 cuboids, 8 rectangular trapezoprisms and 16 rectangular frustums. However, it cannot be made uniform.

This polychoron can be alternated into a snub digonal-square prismantiprismoid, which is also nonuniform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\frac{7+\sqrt{42+14\sqrt2}}{7}$$ ≈ 1:2.12303.

Vertex coordinates
The vertices of a digonal-square truncatoprismantiprismoid, assuming that the edge length differences are minimized, centered at the origin, are given as Cartesian products of the vertices of ditetragon DTE1 and rectangle R1, both of lengths 1 and $$\frac{7+\sqrt{42+14\sqrt2}}{7}$$:
 * DTE1 × R1,
 * DTE2 × R2 (DTE1 rotated 45 degrees and R1 rotated 90 degrees).