Dodecastar toroidiprism

The dodecastar toroidiprism or dastop is a scaliform polychoron that consists of 12 pentagrammic antiprisms and 24 pentagrammic cuploids. Two pentagrammic antiprisms and four pentagrammic cuploids join at each vertex.

It resembles a shortened dodecadodecahedral prism, but the dodecadodecahedral facets at the top and bottom are pseudo-. The pentagrammic faces from other facets lie where the pentagrammic faces of the pseudo-dids would.