Triangular triotegum

The triangular triotegum is a noble triotegum that consists of 27 digonal trisphenoids and 9 vertices. 18 facets join at each vertex. It is also the 9-2-4 step prism.

The ratio between the longest and shortest edges is 1:$$\frac{\sqrt6}{2}$$ ≈ 1:1.22474.