They form faces of regular and uniform polyhedra.
Two other degenerate uniform polyhedra are also facettings of the dodecahedron.
For uniform polyhedra, the angle defect can be used to compute the number of vertices.
The uniform polyhedra form a much broader class of polyhedra.
The publishers indicated an interest in the book only if Wenninger built all 75 of the uniform polyhedra.
This was the first time that all of the uniform polyhedra had been made as paper models.
The octahedron is one of a family of uniform polyhedra related to the cube.
Coxeter used them to enumerate all but one of the uniform polyhedra.
The tetrahedron is unique among the uniform polyhedra in possessing no parallel faces.
A truncation process applied to the tetrahedron produces a series of uniform polyhedra.