Dual Polyhedra

Dual polyhedra

A dual pair: cube and octahedron.

Every polyhedron has a dual (or “polar”) polyhedron with faces and vertices interchanged. The dual of every Platonic solid is another Platonic solid, so that we can arrange the five solids into dual pairs.

  • The tetrahedron is self-dual (i.e. its dual is another tetrahedron).
  • The cube and the octahedron form a dual pair.
  • The dodecahedron and the icosahedron form a dual pair.images-12