Dodecagonal triotegum

The dodecagonal triotegum is a noble triotegum that consists of 1728 digonal trisphenoids and 36 vertices. 288 facets join at each vertex. It is also the 36-11-13 step prism.

The ratio between the longest and shortest edges is 1:$$1+\sqrt3$$ ≈ 1:2.73205.