If all its faces are regular, it is a semiregular polyhedron.
When eight points are distributed on the surface of a sphere with the aim of maximising the distance between them in some sense, then the resulting shape corresponds to a square anti-prism rather than a cube. Different examples include maximising the distance to the nearest point, or using electrons to maximise the sum of all reciprocals of squares of distances.
- Compound of three square antiprisms
- Set of antiprisms
- Octahedron Triangle-capped antiprism
- Pentagonal antiprism
- Hexagonal antiprism
- Octagonal antiprism