In geometry, the **square antiprism** is the second in an infinite set of antiprisms formed by an even-numbered sequence of triangle sides closed by two polygon caps. It is also known as an * anticube*.

^{[1]}

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.

## See also

- Compound of three square antiprisms
- Set of antiprisms
- Octahedron Triangle-capped antiprism
- Pentagonal antiprism
- Hexagonal antiprism
- Octagonal antiprism

## References

- ↑ Holleman-Wiberg.
*Inorganic Chemistry*, Academic Press, Italy, p. 299. ISBN: 0-12-352651-5.

## External links

- Square Antiprism interactive model
- Virtual Reality Polyhedra www.georgehart.com: The Encyclopedia of Polyhedra
- VRML model
- Conway Notation for Polyhedra Try: "A4"