Octagonal duotransitionalterprism

The octagonal duotransitionalterprism is a convex isogonal polychoron and the seventh member of the duotransitionalterprism family. It consists of 16 octagonal trapezorhombihedra, 16 octagonal prisms, and 64 rectangular trapezoprisms. 2 octagonal trapezorhombihedra, 1 octagonal prism, and 2 rectangular trapezoprisms join at each vertex. It can be obtained as the convex hull of two orthogonal octagonal-hexadecagonal duoprisms. However, it cannot be made scaliform.

This polychoron can be alternated into a square duotransitionalterantiprism, which is also not scaliform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\frac{2+\sqrt{4+2\sqrt2}}{2}$$ ≈ 1:2.30656.