The angle between two planes (such as two adjacent faces of a polyhedron) is called a dihedral angle.

If no faces of a polyhedron are triangles, what is the smallest number of edges that the polyhedron may have?

A digon as a face of a polyhedron is degenerate because it is a degenerate polygon.

These ligands donate the same number of electrons to the metal, and the donor atoms are arranged in a fac manner covering a face of a polyhedron.

A dome of this kind is obtained by mapping patterns on the faces of a polyhedron and projecting the resulting configuration onto a curved surface [3, 6].

In geometry, a stellation diagram or stellation pattern is a two-dimensional diagram in the plane of some face of a polyhedron, showing lines where other face planes intersect with this one.

In geometry, a base is a side of a polygon or a face of a polyhedron, particularly one oriented perpendicular to the direction in which height is measured, or on what is considered to be the "bottom" of the figure.

The stellation of a polyhedron extends the faces of a polyhedron into infinite planes and generates a new polyhedron that is bounded by these planes as faces and the intersections of these planes as edges.

More generally, a tessellation can be viewed as a kind of topological cell complex, as can the faces of a polyhedron or polytope; the vertices of other kinds of complexes such as simplicial complexes are its zero-dimensional faces.

Given 3 faces of a polyhedron which meet at a common vertex P and have edges edges AP , BP and CP, the dihedral angle between the faces containing APC and BPC is:

The midsphere is so-called because, for polyhedra that have a midsphere, an inscribed sphere (which is tangent to every face of a polyhedron) and a circumscribed sphere (which touches every vertex), the midsphere is in the middle, between the other two spheres.