Toroidal cycloantiprism

The toroidal cycloantiprism or tocap is a nonconvex scaliform polychoron that consists of 50 tetrahedra, 10 pentagrammic prisms, and 50 square pyramids. 4 tetrahedra, 2 pentagrammic prisms, and 5 square pyramids join at each vertex.

Related polychora
The toroidal hectosnub pyrihectosnub cycloduoantiprism, a compound of 2 toroidal cycloantiprisms, exists in a subregiment of the pentacubic extended duoantiprism.

The small dishexacosiswirlprismatic hecatonicosachoron, a compound of 12 toroidal cycloantiprisms, exists in the regiment of the small stellated hecatonicosachoron.