Square antiprism

Square antiprism

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.

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

External links

*
* [http://polyhedra.org/poly/show/27/square_antiprism Square Antiprism] interactive model
* [http://www.georgehart.com/virtual-polyhedra/vp.html Virtual Reality Polyhedra] www.georgehart.com: The Encyclopedia of Polyhedra
** VRML [http://www.georgehart.com/virtual-polyhedra/vrml/Square_antiprism.wrl model]
** [http://www.georgehart.com/virtual-polyhedra/conway_notation.html Conway Notation for Polyhedra] Try: "A4"
* [http://www.lifeisastoryproblem.org/explore/net_square_antiprism.pdf Printable Net of a Square Antiprism] [http://www.lifeisastoryproblem.org Life is a Story Problem.org]


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