Editing Regular polyhedron (section)

== Duality of the regular polyhedra ==
In a [[dual polyhedron|dual]] pair of polyhedra, the vertices of one polyhedron correspond to the faces of the other, and vice versa.

The regular polyhedra show this duality as follows:
* The [[tetrahedron]] is self-dual, i.e. it pairs with itself.
* The [[cube]] and [[octahedron]] are dual to each other.
* The [[regular icosahedron|icosahedron]] and [[dodecahedron]] are dual to each other.
* The [[small stellated dodecahedron]] and [[great dodecahedron]] are dual to each other.
* The [[great stellated dodecahedron]] and [[great icosahedron]] are dual to each other.

The Schläfli symbol of the dual is just the original written backwards, for example the dual of {5, 3} is {3, 5}.