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An antisymmetric matrix, also known as a skew-symmetric or antimetric matrix, is a square matrix that satisfies the identity A=-A^(T) (1) where A^(T) is the matrix transpose. ...

If a plane cuts the sides AB, BC, CD, and DA of a skew quadrilateral ABCD in points P, Q, R, and S, then (AP)/(PB)·(BQ)/(QC)·(CR)/(RD)·(DS)/(SA)=1 both in magnitude and sign ...

Generally, a face is a component polygon, polyhedron, or polytope. A two-dimensional face thus has vertices and edges, and can be used to make cells. More formally, a face is ...

Alexandrov's theorem addresses conditions under which a polygon will fold into a convex polyhedron (Malkevitch).

Spherical triangles into which a sphere is divided by the planes of symmetry of a uniform polyhedron.

An assemblage of faces forming a polyhedron of zero volume (Holden 1991, p. 124).

A trapezohedron that is the dual polyhedron of the pentagonal antiprism U_(77). It is also (confusingly) known as the pentagonal deltohedron.

The dual polyhedron of the small dodecicosidodecahedron U_(33) and Wenninger dual W_(72).

The dual polyhedron of the small cubicuboctahedron U_(13) and Wenninger dual W_(69).

The dual polyhedron of the small icosicosidodecahedron U_(31) and Wenninger dual W_(71).