Square biantiprismatic ring (EntityTopic, 19)

From Hi.gher. Space

The square biantiprismic ring is a member of the infinite family of biantiprismic rings, which are 4D CRF polychora. It consists of a 3-membered ring containing two square antiprisms and a cube, flanked by a circle of 4 tetrahedra and 4 square pyramids.

Cartesian coordinates

Cube:

(±1, ±1, ±1, 0)

Square:

(±sqrt(2), 0, 0, H)
(0, ±sqrt(2), 0, H)

where H = sqrt(2*sqrt(2) - 1).