# Antitegum

Jump to navigation
Jump to search

An **antitegum** (also called a **trapezotope**) is a polyhedron constructed as the dual of an antiprism. An *n*-gonal antitegum generally has *2n* kites as faces (if *n* is equal to 2 or 3, then the faces are isosceles triangles or rhombi instead). The digonal antitegum is equivalent to the tetragonal disphenoid and is a noble polyhedron, while the triangular antitegum is a variant of the cube.

They are topologically related to the scalenohedra, which are half-symmetry variants with irregular tetragons (scalene triangles if *n* is equal to 2).

As there is no consistent analog in higher dimensions to the 3D antiprisms, there is similarly no general generalization of 3D antitegums either.

## External links[edit | edit source]

- Wikipedia Contributors. "Trapezohedron".
- Weisstein, Eric W. "Trapezohedron" at MathWorld.

This article is a stub. You can help Polytope Wiki by expanding it. |